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?
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
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Question
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.
feet high.
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Step 1: Given data and what is find
VIEWStep 2: Using instantaneous velocity formula and integrate it then find S(t)
VIEWStep 3: When ball reached to ground then take S(t)=0 and get time to reach groung
VIEWStep 4: For maximum heigh take V(t)=0 and find time to reach maximum height then set it in S(t)
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