The height (feet) of an object moving vertically is given by s = - 16t2 + 144t + 108, where t is in seconds. Find the object's velocity at t= 3, its maximum height and when it occurs, and its velocity when s = 0. The velocity of the object at t= 3 seconds is ft/second. (Simplify your answer. Type an integer or a decimal.) The maximum height occurs at t= seconds. (Simplify your answer. Type an integer or a decimal.) The maximum height is feet. (Simplify your answer. Type an integer or a decimal.) The velocity when s= 0 isO feet/second. (Round to the nearest hundredth.)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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The height (feet) of an object moving vertically is given by s = - 16t + 144t + 108, where t is in seconds. Find the object's velocity at t= 3, its maximum height and when it occurs, and its velocity when s = 0.
The velocity of the object at t= 3 seconds is
ft/second.
(Simplify your answer. Type an integer or a decimal.)
The maximum height occurs at t= seconds.
(Simplify your answer. Type an integer or a decimal.)
The maximum height is feet.
(Simplify your answer. Type an integer or a decimal.)
The velocity when s = 0 is feet/second.
(Round to the nearest hundredth.)
Transcribed Image Text:The height (feet) of an object moving vertically is given by s = - 16t + 144t + 108, where t is in seconds. Find the object's velocity at t= 3, its maximum height and when it occurs, and its velocity when s = 0. The velocity of the object at t= 3 seconds is ft/second. (Simplify your answer. Type an integer or a decimal.) The maximum height occurs at t= seconds. (Simplify your answer. Type an integer or a decimal.) The maximum height is feet. (Simplify your answer. Type an integer or a decimal.) The velocity when s = 0 is feet/second. (Round to the nearest hundredth.)
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