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Math Help - please help me with this question.

  1. #1
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    please help me with this question.

    A spaceship approaching touchdown on a distant planet has height h, in meters, at time t, in seconds, given by h=25t^2-100t+100. When does the spaceship land on the surface? With what speed does it land(assuming it descends vertically)?

    Thanks
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  2. #2
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    Quote Originally Posted by Soul to soul View Post
    A spaceship approaching touchdown on a distant planet has height h, in meters, at time t, in seconds, given by h=25t^2-100t+100. When does the spaceship land on the surface? With what speed does it land(assuming it descends vertically)?

    Thanks
    When does the spaceship land on the surface?

    set h = 0 and solve for t.

    With what speed does it land(assuming it descends vertically)?

    v(t) = \frac{dh}{dt}

    evaluate \frac{dh}{dt} at the time that it lands.
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