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. (Consider up to be the positive direction.) (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? ft/s What is the velocity (in ft/s) of the ball when it is 128 ft above the ground on its way down? ft/s

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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. (Consider up to be the positive direction.)
(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?
ft/s
What is the velocity (in ft/s) of the ball when it is 128 ft above the ground on its way down?
ft/s
Transcribed Image Text: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. (Consider up to be the positive direction.) (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? ft/s What is the velocity (in ft/s) of the ball when it is 128 ft above the ground on its way down? ft/s
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