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Math Help - Word Problem Help

  1. #1
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    Word Problem Help

    Use a(t)= -32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 96 feet per second. How high will the ball go.
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  2. #2
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    Quote Originally Posted by ihatemath View Post
    Use a(t)= -32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 96 feet per second. How high will the ball go.
    The velocity is v(t)=\int a(t)dt=-32t+C where C is the initial velocity. Therefore, the velocity function is:

    v(t)=-32t+96

    So now you have to find the point where v(t)=0, since this is the point where the ball is at the maximum hieght. Since the ball started at the ground, the initial position is C_2=0, so see if you can find the deduce the maximum height with this information. Just think about the relationship between velocity and position.
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  3. #3
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    Is the answer 144 ft?
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