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Math Help - free fall

  1. #1
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    Post free fall

    The equation for free fall at the surface of a planet is s=3.8t^2m with t in seconds. Assume a rock is dropped from the top of a 400-m cliff. Find the speed of the rock at t=6 sec.

    I came up with the answer 45.6 m/sec using the slope of the curve formula, but do not fully understand what I did, or if it is correct. Can anyone explain how to correctly solve?

    Thanks!
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  2. #2
    Super Member malaygoel's Avatar
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    Quote Originally Posted by live_laugh_luv27 View Post
    The equation for free fall at the surface of a planet is s=3.8t^2m with t in seconds. Assume a rock is dropped from the top of a 400-m cliff. Find the speed of the rock at t=6 sec.

    I came up with the answer 45.6 m/sec using the slope of the curve formula, but do not fully understand what I did, or if it is correct. Can anyone explain how to correctly solve?

    Thanks!
    speed,v= \frac{ds}{dt} =7.6t

    Slope of a curve means the slope of the tangent to curve.
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