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Math Help - Falling object problem. ..

  1. #1
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    Falling object problem. ..

    suppose an object is dropped from a height of x above the ground. Then its height after t seconds is given by h=-16tē+x, where h is measured in feet. Use this info to solve the problem.

    A ball is dropped from the top of a building 96 ft tall.

    How long will it take to fall half the distance to ground level??

    How do you solve this? Thanks.
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by Godzilla View Post
    suppose an object is dropped from a height of x above the ground. Then its height after t seconds is given by h=-16tē+x, where h is measured in feet. Use this info to solve the problem.

    A ball is dropped from the top of a building 96 ft tall.

    How long will it take to fall half the distance to ground level??

    How do you solve this? Thanks.
    Well, you are given that x=96feet.

    so put that in

    h=-16t^2+96

    and this gives the height after t seconds.

    now you want to find t when the thing is half its initial hieght, so

    \frac{1}{2}96=h=-16t^2+96

    solve for t

    I just edited my post, I copied and pasted alot from yours and assumed tha it would remain the same (the t did not stay squared). Sorry if there was any confusion.
    Last edited by VonNemo19; September 13th 2009 at 11:05 PM.
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  3. #3
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    h = -16t^2 + x

    At time , t = 0 h = 96 ft 96 = - 16(0)^2 + x

    therefore , x = 96

    we get this equation h = -16t^2 + 96

    h = 0.5(96) = 48 sub into the equation

    48 = -16t^2 + 96

    -48 = -16t^2

    t ^ 2 = 3

    t = \sqrt{3}
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