You throw your ball into the air from a height of 4.2 feet with an initial vertical velocity of 24 feet per second. Use the vertical motion model, h = - 16t ^ 2 + vt + s, where v is the initial velocity in feet per second and s is the height in feet, to calculate the maximum height of the ball. Round your answer to the nearest tenth if necessary. Maximum height : feet

Question

Mathematics

Carpenter

18 November, 20:15

You throw your ball into the air from a height of 4.2 feet with an initial vertical velocity of 24 feet per second. Use the vertical motion model, h = - 16t ^ 2 + vt + s, where v is the initial velocity in feet per second and s is the height in feet, to calculate the maximum height of the ball. Round your answer to the nearest tenth if necessary. Maximum height : feet

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Answers (1)

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Creedence · Answer 1

Use the equation h (t) = -b/2a to find the x value of the vertex, then plug that back into the equation to find the y value which is your height.

Step-by-step explanation:

You can also complete the square to get the equation into vertex form, then your height is the y value of your vertex. Remember the maximum height is always at the vertex of an inverted parabola.