What is the maximum height reached by the ball.
Dec 14, 2015 · (a) 25.
What is the maximum height reached by the ball. The vertex of any parabola of the form f(x) Jun 21, 2023 · What is the formula to calculate the maximum height reached by a ball in projectile motion? The formula to calculate the maximum height (H) reached by a ball in projectile motion is given by: \( H = \frac{v_0^2 \sin^2(\theta)}{2g} \), where \( v_0 \) is the initial velocity, \( \theta \) is the angle of projection, and \( g \) is the Sep 29, 2015 · I found 6s and 46m The ball starts with initial velocity v_i=30m/s and it reaches maximum height where the velocity will be zero, v_f=0. we also know that v=ds/dt. 6 = 225 19. 0m/s at 50. Using second equation of Jul 21, 2023 · Soumya throws a ball upwards, from a rooftop, 80 m above. If a baseball is projected upward from ground level wth an initial velocity of 128 feet per second, then its height is a function of time, given by s=-16t^2+128t. 45 meters The maximum height reached by the ball is ? feet. 27m {/eq} Example of Calculating Maximum Height Using Method B A projectile is launched with a velocity of 10 meters per second at an angle Feb 25, 2021 · It will reach a maximum height and then fall back to the ground. What is the maximum height the ball reached and also when does the ball return to the ground? First, we need to fix the equation. 8 m/s^2), the ball will reach a maximum height of approximately 45. 2 s ? Question: A ball is thrown straight up with a speed of 30. If a body is thrown into the air at an angle, its velocity has a horizontal component v x and a vertical component v y. Use the formula for the axis of symmetry to find the x-coordinate of the vertex. What is the maximum height reached by the object? 3. See full list on problemsphysics. What is the maximum height reached by the ball? A ball is thrown straight up with a speed of 3 0 . Jan 27, 2020 · Answer: maximum height =7. The velocity of the ball when it is 240 feet above the ground on its way down is -192 feet per second. 449)^2+24*2. What is the maximum height reached by the ball? 0. 4=25. what is the maximum height reached by the ball? Jul 10, 2018 · The maximum height the ball will reach is the vertex of the parabola s(t)=48+80t-16t 2. What is the maximum height reached by the ball? Enter only a numerical answer Do not include units in the answer box, else your response will be counted as incorrect. Question: (a) What is the maximum height above the ground that the ball reaches? m (b) How long does it take to reach the maximum height? s (c) How long does it take to reach the ground after it reaches its highest point? 5 [d) What is its velocity just before it hits the graund? (Indicate the direction with the sign of your answer. 64 m. The diagram below describes the projectile motion and its maximum height. Define up as the positive direction and the starting point as y0 = 0. 8 m/s². . At the point of maximum height, the velocity of the ball is zero. Find step-by-step Calculus solutions and the answer to the textbook question If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is s=80t-16t$^2$. (b) What are the magnitude and direction of the ball’s velocity at impact? Figure \(\PageIndex{4}\): The trajectory of a tennis ball hit into the stands. 0 degrees what is the maximum height reach by the ball. a. 0 m Question: A ball is thrown straight up with a speed of 20 m/s. What is the maximum height reached by the? ball? what we know is that at maximum height v=0. 9 m 1. 2 s 4. h(t) = the height of the ball after t seconds. H = maximum height (m) v 0 = initial velocity (m/s) g = acceleration due to gravity The maximum height is reached when \(\mathrm{v_y=0}\). 443m On its way down, the ball is caught by a spectator 10 m above the point where the ball was hit. 8xx4^2 :. com Jul 21, 2015 · In order to determine the maximum height reached by the projectile during its flight, you need to take a look at the vertical component of its motion. math 105 (college course) second part: What is the maxium height that the ball will reach? Maximum height? A parabola reaches its maximum value at its vertex, or turning point. Nov 1, 2010 · the red ball to reach the ground, the time it takes the green ball to reach the ground is (A) four times as great (C) the same (B) twice as great (D) one-half as great 32. What is the maximum height reached by the ball Class 10? When the Question: Try to answer the following questions: (a) What is the maximum height above ground reached by the ball? (b) What are the magnitude and the direction of the velocity of the ball just before it hits the ground? Show these below: 1) Draw a Sketch 2) Choose origin, coordinate direction 3) Inventory List - What is known? Oct 31, 2016 · If a ball is thrown vertically upward with a velocity of 160 ft/s, then its height after t seconds is s = 160t − 16t^2. 25-kilogram baseball is thrown upward with a speed of 30. Plug in for t and find h. From the displacement equation we can find the maximum height till its velocity becomes zero such that 0 = (600) 2 − 2 g h 2 or h 2 = 18000 m [a s g = 10 m / s 2](iii) = 18 km So, from Eqs. This video uses the vertex point of a parabola to find the maximum height of ball th What is the maximum height reached by the rocket? c. A person standing on top of a 30. 00 m/s at 75. It will reach a maximum vertical height and then fall back to the ground. (a) What is the maximum height reached by the ball? ft (b) What is the velocity of the ball when it is 320 ft above the ground on its way up? If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after f seconds is st=80t-16t2. 9 metres. What is the maximum height reached by this ball? Hint: Find the vertex of the graph of the quadratic function. Let the maximum height be H. 4"m" (c) 20. Explanation: Given that a ball of mass 600 grams is kicked at an angle of 35° with the ground with an initial velocity V0. first, we need to solve for t. 1 m The ball achieves its maximum height at approximately {eq}\mathbf{14. The maximum height of the object is the highest vertical position along its trajectory. Write down the initial height, h₀. Jan 14, 2019 · The distance that the ball travels is given by the quadratic h(t)=-16t 2 +48t. Find the maximum height reached by the ball. The height at ground level is given by the equation h=-3t^2+24t, where h is the height in meters and t is the time in seconds. H = U 2 /(2g) = (49 2 )/(2 x 9. (a) What is the maximum height reached by the ball? (i got the answer which is right) 400 ft (b) What is the velocity of the ball when it is 384 ft above the ground on its way up? Thus, the maximum height of a projectile is H = u sin θ 2 2 g. 4 meters per second. Step-by-step explanation: maximum height = (U²sin²θ)/2g. Velocity, in our case, is the horizontal velocity V x = V₀ × cos(α), and the time to reach the ground is a value we've already calculated: d = V × t = V₀ × cos(α) × 2 × V₀ × sin(α)/g May 15, 2023 · The equation to find the maximum height reached by a projectile is as follows: H max = ( V 0 sinθ ) 2 /(2 g) How to find the maximum height of a ball thrown up? A tennis player wins a match at Arthur Ashe stadium and hits a ball into the stands at 30 m/s and at an angle 45 ° 45 ° above the horizontal (Figure 4. s = 144t − 16t 2. (a) What is the maximum height reached by the ball? Answer . Jul 26, 2024 · To find the maximum height of a ball thrown up, follow these steps: Write down the initial velocity of the ball, v₀. What is the change in the ball's position over the first 3 seconds? Sep 11, 2018 · Maximum height refers to the highest point that an object reaches during its motion, while maximum height reached refers to the distance between the starting point and the highest point. 277m 3. h = -16t 2 + h 0 The initial height is 40 feet and the height when the ball hits the ground will be 0. ) what is the maximum height reached by the ball? (c. The time of flight is the interval between when the projectile is launched (t 1 ) and when the projectile touches the ground (t 2 ). 388 meters. maximum height reached by the ball. Neglecting friction, the maximum height reached by the baseball is approximately (A) 74 m (C If a ball is thrown vertically upward from the ground with a velocity of 144 ft/s, then its height after t seconds is s = 144t - 16t. General equations of motion (neglecting air resistance): y = y0 + vo * t + (1/2) a * t^2. 5xx9. The maximum height reached is 625 feet. How do you find the maximum height reached by a ball? A ball is thrown vertically upward from the ground with an initial velocity of 115 ft/sec. h = -4t² + 16t + 20. What is the maximum height reached by the ball? meters The following diagram shows part of the graph of a quadratic function, with equation in the form y = (x - p)(x - q), where p and q are integers and p < q Jul 5, 2018 · 5. 7 m s. (a) How long does it take the ball to reach the maximum height? (b) What is the maximum height reached by the ball? For general projectile motion with no air resistance, the horizontal component of a If a ball is thrown vertically upward with a velocity of 96 ft/s, then its height after t seconds is . There are 2 steps to solve this one. 53 in 92. Sep 22, 2019 · The ball is at rest at its maximum height ( v = 0). What is the height of the building? What is the maximum height reached by the ball? How long does it take to reach maximum height? Also, find a rigorous algebraic solution for the problem. A 0. It can find the time of flight, but also the components of velocity, the range of the projectile, and the maximum height of flight. ) (a) What is the maximum height (in ft) reached by the ball? ft (b) What is the velocity (in ft/s) of the ball when it is 128 ft above the ground on its way up? If a ball is thrown vertically upward with a velocity of 128 ft/s, then its height after t seconds is s = 128t − 16t2. 6 H = (15) 2 ⇒ H = (15) 2 19. ) How long does it take the ball to reach the maximum height? (b. 14m. The time of flight was 4. a What is the maximum height reached by the ball? b What is the velocity of the ball when it is 96 ft above the ground on its way up? c What is the velocity of the ball when it is 96 ft above the ground on its way down? a height b Aug 21, 2019 · a)The initial velocity of the ball is 11. Jul 30, 2024 · Also, we know that we can find the maximum distance of the projectile from the widely known formula: d = V × t (learn more in our distance calculator). Its height, in meters above ground, as a function of time, in seconds, is given by . s = 96t − 16t 2. If a ball is thrown vertically upward with a velocity of 144 ft/s, then its height after t seconds is . h = -16(6. It will reach a maximum height and then fall back to the ground. 0"m/s" at an angle to the vertical of 48. It uses some factors like initial velocity and launch angle. Find the horizontal distance the ball travels. b)The maximum height reached by the ball is 2. 25) = 625 ft. May 26, 2023 · When a ball is thrown vertically upward at the maximum height? Hint: When a ball is thrown upwards with a certain velocity, the ball moves against the acceleration due to gravity and attains a maximum height. a) How long does it take to reach the maximum height? b) What is the maximum height reached by the ball? c) What is the speed after 4. The initial velocity of the ball, u = 15 m/s Acceleration = -g Final velocity, v = 0 m/s Let the maximum height attained by the ball before it begins to fall back = H Using the third equation of motion, v 2 = u 2-2 g H ⇒ 0 = (15) 2-2 × 9. Set the equation equal Sep 23, 2019 · The maximum height reached by a ball is 0. 00. 31m/s. Calculate the approximate maximum height the ball reaches. ) Apr 7, 2017 · A ball is thrown vertically upwards with a velocity of 49m/s calculate the maximum height and time taken to reach maximum height. Since, h = 0. c. 4 days ago · The Maximum Height of a Projectile Calculator is a practical tool for calculating the peak altitude reached by a projectile during its motion. The projectile will decelerate on its way to maximum height, come to a complete stop at maximum height, then starts its free fall descent towards the ground. 8 m/s 2 At time t, the velocity has two components given by V x = V 0 cos(θ) and V y = V 0 sin(θ Jul 21, 2015 · Vertically, the motion of the projectile is affected by gravity. Use the vertical motion model, h = -16t2 + vt + s where v is the initial velocity in feet/second and s is the height in feet, to calculate the maximum height of the ball. What is the maximum height reached by an object that is thrown? The maximum height reached by an object thrown up with an initial velocity u is given The maximum height reached by this projectile is {eq}h=1. also the maximum height attain by the ball is "h(2. 0 s c. A ball is thrown upwards with a velocity of 10 m s − 1. 6 = 11. 388" max height = 37. (i) and (iii) the maximum height reached by the rocket from the ground h = h 1 + h 2 = 18 + 18 = 36 km Oct 23, 2021 · A ball is thrown from a point above the ground. Question (1): What is the maximum height of the ball? Remember that the graph of the function is a parabola open down because the leading coefficient is negative. Vertically, the motion of the projectile is affected by gravity. 5 m/s at 35. a)We are required to find the initial velocity of the ball if the kinetic energy of ball at maximum height is 22J. It will generate the values for the Time of Flight, the Distance, and the Maximum Height. 48 m Hence, the May 7, 2023 · You throw a ball into the air from a height of 5 feet with an initial vertical velocity of 32 feet per second. (a) How long does it take the ball to reach the maximum height? Blank 1. What is the maximum height reached by the ball? What is the velocity of the ball when it is 384 ft above the ground on its way up? Question: If a ball is thrown vertically upward with a velocity of 80ft/s, then its height after t seconds is s(t)=80t−16t2. A laser is thrown upward with a speed of 12 m/s on the surface of planet X where the acceleration due to gravity is 1. 0 m/s. 45 meters. The maximum height of the projectile depends on the initial velocity v 0, the launch angle θ, and the acceleration due to gravity. This means that at maximum height, the vertical component of the initial speed will be zero. Fill in the blank, read surrounding text. Explanation: Given that, Initial velocity of the ball, At maximum height, final velocity of the ball we be 0, v = 0. 0° below horizontal. ) What is the maximum height reached by the ball? (c. 9*(2. Question: A ball thrown vertically upward reaches a maximum height of 30 meters above the surface of Earth. Hence, The highest point in any trajectory, the maximum height, is reached when v y = 0 v y = 0; this is the moment when the vertical velocity switches from positive (upwards) to negative (downwards). Jul 28, 2022 · Use this maximum height calculator to find the highest vertical position of an object in projectile motion, using velocity and angle of launch. To Find :height reached by the ball after 1 second. The height of the ball from the ground at time 't' is 'h', which is given by h = − 16 t 2 + 64 t + 80 What is the height reached by the ball after 1 second ? Oct 8, 2024 · What is the maximum height reached by the ball? A ball is thrown upward from the top of a building, and t seconds later has velocity v(t) = -32t + 80 ft/sec. What is the maximum height reached by the ball? Jul 20, 2016 · height of the ball. 0 m Your solution’s ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on. The instantaneous speed of any projectile at its maximum height is zero. 6^@ (a) Diagram (a) describes the scenario. v0 = 11. (a) What is the maximum height reached by the ball? (b) What is the velocity of the ball when it is 96ft above the ground on its way up? (c) What is the velocity of the ball when it is 96ft above the ground on its way down? A ball of mass m is thrown straight upward from the top of a multi-storey building with an initial velocity of +15 m/s. What is the time for the ball to reach the target that is 30 meters away at a height of 1. (Consider up to be the positive direction. After entering all of these values, the projectile calculator automatically performs the calculation for you. The maximum height reached by the ball isft 15 1 point A boy throws a ball upward with a velocity of 9. Its unit of measurement is “meters”. What is the maximum height reached by the ball?. At the same time, a balloon is rising at a constant rate of 20 feet per second. A golf ball was hit from the surface of the Moon. Therefore, to get the maximum height we just have to find the vertex of this parabola. com. 14 s The maximum height reached by the ball is $20\,m$. 8m/s^2 is slowing it down up to the maximum height where the ball finally stops; You can say that the final velocity depends upon the initial velocity AND the contribution of the acceleration that Question: If a baseball is projected upward from ground level with an initial velocity of 96 feet per second, then its height is a function of time, given by s = - 16t2 + 96t. Oct 26, 2011 · Youtube videos by Julie Harland are organized at http://YourMathGal. Give the formulae for the time period, maximum height reached and range of a projectile motion. 8)=122. A girl kicks a soccer ball with the velocity of 20. where θ = 90° as the ball is thrown straight up. ft (b) What is the velocity of the ball when it is 128 ft above the ground on its way up? (Consider up to be the positive direction. Get access to thousands of practice questions and explanations! Question: If a football is kicked straight up with an initial velocity of 64 ft/sec from a height of 4 ft, then its height above the earth is a function of time given by h(t) =-16? + 64t+ 4. When will the ball reach the ground? Jul 5, 2009 · FAQ: A ball is thrown in the air @ 30m/s How high will the ball go? Using the equation h = (v^2 sin^2θ)/2g, where h is the maximum height, v is the initial velocity (30m/s), θ is the angle of projection (typically 90 degrees for straight up), and g is the acceleration due to gravity (9. What is the maximum height reached by the ball? [Neglect friction. ) how long does it take for the ball to reach the maximum height (b. 8 = 5 sec A ball is thrown vertically upward with a velocity of 20 m/s. A ball is thrown straight up with a speed of 30 m/s. The maximum height of the object in projectile motion depends on the initial velocity, the launch angle and the acceleration due to gravity. 8. sin90°=1 , so our formula reduces to; A ball is thrown upwards from a rooftop, 2 8 m above the ground. Let the time of flight be T. Use h = -16t^2 + vt + h Determine when the ball will reach its maximum height and what the maximum height is. Using third equation of motion, v 2 = u 2 + 2 a s 0 2 = 20 2 + 2 × (− 10) × H H = 20 m When the ball returns to the initial point, net displacement is zero. Our projectile motion calculator is a tool that helps you analyze parabolic projectile motion. Note: For every object, if we want to throw the object which goes to the maximum distance for the given velocity, the angle to throw the object in ${45^ \circ }$, as we release the object in ${45^ \circ }$, the object will definitely reach the maximum distance, for the given velocity. 2 s? A ball is thrown straight up with a speed of 30 m/s. ] (1) 14. 097\ m At the maximum height h, the final velocity of ball v becomes zero when thrown with an initial upward velocity u=10\ m/s against the gravitational If a ball is thrown vertically upward with a velocity of 128 ft/s, then its height after t seconds is s = 128t - 16t^2. Its height h in feet after seconds is given by h = 20t. The maximum height reached by the object is 47. 8 m/s^2 (acceleration due to gravity), v = 0 at the maximum height. ) m/s 2. m/s at an angle of 20. 449 sec. 449+8=37. What is the maximum height reached by the ball? Feb 4, 2021 · thus, max time to reach at maximum height is at t = 2. Projectile Equations used in the Calculator and Solver. calculate the maximum height and time taken to reach maximum height. (a) What is the maximum height reached by the ball? (b) What is the velocity of the ball when it is 240 ft above the ground on its way up? (Consider up to be the positive direction. 48 m ⇒ H = 11. What is the maximum height the ball reaches? C. ) What is its speed after 4. A. 347m. Hit the ground? The ground will be a height of 0. How do you explain projectile motion? a) How long does it take the ball to reach the maximum height? b) What is the maximum height reached by the ball? c) What is its speed after 4. How far from the base of the building will the ball land? The Formula for Maximum Height. Let h be the maximum height reached by the ball. Explanation: (a) To find the maximum height reached by the ball, we need to determine when the height starts decreasing. In other words, maximum height reached is the displacement in the vertical direction. What is the maximum height the ball can reach? How long will it take to reach the maximum height? A ball is thrown straight up with a speed of 30 m/s, and air resistance is negligible. Jun 10, 2024 · The maximum height reached by an object thrown up with an initial velocity u is given by h=2gu. 8 × H ⇒ 19. 3) Total brushels for 75 per acre = 75*20 = 1500 Suppose X is the number of plants added The new number becomes 75 + X Now each tree gives only 17 brushels. At its maximum height, the speed of the ball is: Answer: 0 m/s. 6 m/s (given) and a = - 9. When does the ball reach its maximum height? c. (b) What is the maximum height reached by the ball? Blank 2. 0 m high building throws a ball with an initial velocity of 20. 5"m" (b) To get the What is the maximum height reached by the ball? A girl kicks a soccer ball with a velocity of 13. 119m 0. Strategy Finally, enter the value of the Initial Height then choose the unit of measurement from the drop-down menu. 25) 2 + 200(6. 16 s b. 9\:m} {/eq}. Dec 31, 2015 · A ball is thrown vertically upward with an initial velocity of 29. So the ball reaches its maximum height after 3 seconds. What is the maximum height reached by the ball? The maximum height reached by the ball is feet. 5 m/s2 and there is no atmosphere. 0o. s. Conversely, if you know the initial angle and maximum height, the calculator can find the initial velocity, travel distance, and flight duration. How long will the ball take to hit the ground? What are the two possible times to reach the ball at the same height of 32 m? Where is the ball after 5 seconds. 2 s? Jan 11, 2021 · Find the time the ball is in the air. 9-78. The unit of maximum height is meters (m). 2~\text{s} 4. During the upwards bit the acceleration of gravity g=9. Since we know the initial velocity, initial position, and the value of v y when the firework reaches its maximum height, we use the following equation May 3, 2023 · At what time does the ball reach its maximum height? 1 Expert Answer So the highest point on the parabola is when x=3, or in our case t=3. Solution. The height h above the ground level reached by a ball , t seconds after it is thrown is given by h (t) = − 16 t 2 + 46 t + 5. The vector initial velocity has two components: V 0x and V 0y given by: V 0x = V 0 cos(θ) V 0y = V 0 sin(θ) The vector acceleration A has two components A x and A y given by: (acceleration along the y axis only) A x = 0 and A y = - g = - 9. 5"m" (b) 34. Find out the approximate maximum height reached by the ball? For example, if you know the initial velocity and angle, the calculator can determine the flight duration, maximum height, and travel distance of the projectile. a) How long does it take to reach the maximum height? b) What is the maximum height reached by the ball? A ball is thrown in the air from the top of a building. 92 meters. h=103. meters per second. Jul 20, 2018 · If a baseball is projected upward from ground level with an initial velocity of 96 feet per second, then it’s height is a function of time. (apologies for the artwork): (a) To get h we can use the equation of motion: s=ut+1/2at^2 The vertical component of the initial velocity v is given by: u=vsin60 So the expression for h becomes: h=vsin60t-1/2"g"t^2 :. Replace both in the following formula: h_max = h₀ +(v₀)²/ 2g where g is the acceleration due to gravity, g ~ 9. 5 m T = U/g = 49/9. h(t)=−16t 2 +64t+80. Because the number in front of the t 2 expression is negative, we know that the parabola, when graphing height (h as y coordinate) vs time (t as x coordinate), opens downward and the vertex will be the maximum height. 7 m (3) 44. What is the maximum height reached by the ball? What is the velocity of the ball when it is 320 ft above the ground on its way up? A ball is thrown straight up with a speed of 30 m/s, and air resistance is negligible. What is the best estimate for the maximum height reached by the ball? [1 mark] acceleration due to gravity on the Moon = 1. After how many seconds will the ball reach its maximum height? B. It can be calculated using third equation of motion as : Here, a = -g. When do the ball and the balloon reach the same height? b. Oct 7, 2019 · The velocity of the ball when it is 240 feet above the ground on its way up is 64 feet per second. Given by s= -16t^2 + 96t. A ball is thrown straight up with a speed of 5. 11 s d. How long does it take for the laser to reach the maximum height? a. (a) Calculate the time it takes the tennis ball to reach the spectator. So Maximum Height Formula is: \(Maximum \; height = \frac {(initial \; velocity)^2 (Sine \; of \; launch\; angle)^2}{2 \times Jan 25, 2018 · The height h (in feet) of the ball after t seconds is given by h = = -16t2 + 50t. At maximum height, velocity will be zero, (v = 0) as the ball will change the direction of motion. The height of the ball from the ground at time t is h, which is given by, h = (− t 2 + 2 t + 3 5) + 2 8 May 24, 2023 · What is the formula for maximum height in projectile? Thus, the maximum height of the projectile formula is, H = u 2 sin 2 θ 2 g . Dec 14, 2015 · (a) 25. v = v0 + a*t. On its way down, the ball is caught by a spectator 10 m above the point where the ball was hit. 14). 8 meters? Mar 3, 2020 · The height of the ball t seconds after it is thrown is given by the function s(t)= -16t^2+64t+80. We know that the x value of the vertex will be Question: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t seconds is s = 96t − 16t2. Using this we can rearrange the velocity equation to find the time it will take for the object to reach maximum height \[\mathrm{t_h=\dfrac{u⋅\sin θ}{g}}\] where \(\mathrm{t_h}\) stands for the time it takes to reach maximum height. ) Maximum Height Reached by the BallGiven:The height of the ball at any time t is given by the equation: h = 5t(4 - t)Finding the Maximum Height:To find the maximum height reached by the ball, we need to determine the vertex of the parabolic function represented by the given equation. Finding the Vertex:The vertex of a parabola in the form of y = ax^2 + bx + c is given by the formula: Vertex Therefore, at maximum altitude the velocity of the ball must be zero. 0 s. 44) = -4. Jan 1, 2018 · What is the maximum height the ball reached and when does the ball return to the ground? The formula h (t)=-16t+48t+160 represents the height of a ball, T seconds after it is launched. ) what is its speed after 2. Q. 6 m s–2 A ball is thrown straight up with a speed of 70 m/s. Take acceleration due to gravity g = 10 m s − 2 . (a. Question: If a ball is thrown vertically upward with a velocity of 160 ft/s, then its height after t seconds is s = 160t ? 16t^2. In this way, the calculator can swiftly compute the maximum height. 85m 0. Solution: Mar 26, 2018 · (a) What is the maximum height (in ft) reached by the ball? ft (b) What is the velocity (in ft/s) of the ball when it is 384 ft above the ground on its way up? ft/s What is the velocity (in ft/s) of the ball when it is 384 ft above the ground on its way down? ft/s The height (in meters) of a projectile shot vertically upward from a point 3 m Question: A ball is thrown straight up with a speed of 30 m/s. (a) What is the maximum height reached by the ball? _____ ft (b) What is the velocity of the ball when it is 240 ft above the ground on its way up? Dec 14, 2016 · After t seconds, it's height h (in feet) is given by the function h(t)=40t-16t^2. h=30sin60xx4-0. 2 s What is the maximum height reached by the ball? 132 m 213 m 45. Find the maximum height of the ball. Hence, the maximum height of a projectile is H = u sin θ 2 2 g.