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Samuel launches a projectile from the top of a 100 - Foot high building. The initial velocity of the projectile is 32 feet per second. The height of the projectile is modeled by the function h(t) = -16t^2 + 32t+ 100, where t is measured in seconds since the launch. What is the maximum height of the projectile reaches? 

A. 96 Ft 

b. 116 Ft

c. 128 Ft

d. 132 ft 

 Mar 14, 2019
 #1
avatar+101046 
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The maximum height will be at the time when

 

dh/dt = 0

Do you know how to differentiate h(t) to get dh/dt?     [you can just replace h(t) with y if that is more familiar to you]

 

 

Please noone answer over me.

 Mar 14, 2019

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