A ball is thrown upward from a height of 1152 feet above the​ ground, with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v(t)=96−32t feet per second. ​a) Find​ s(t), the function giving the height of the ball at time t. ​b) How long will the ball take to reach the​ ground? ​c) How high will the ball​ go?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A ball is thrown upward from a height of
1152
feet above the​ ground, with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is
v(t)=96−32t
feet per second.
​a) Find​ s(t), the function giving the height of the ball at time t.
​b) How long will the ball take to reach the​ ground?
​c) How high will the ball​ go?
 
 
 

Question content area bottom

Part 1
​a)
​ s(t)=
Part 2
​b) The ball will reach the ground after
 ___ seconds.
Part 3
​c) The ball will go ____
feet high.
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