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Math Help - Integration word problem (last hw question)

  1. #1
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    Integration word problem (last hw question)

    Last question and I'm done! And I'm also stuck, word problems are more of a sore for me than integrals.

    1) On the moon the acceleration due to gravity is -1.6 meters per second. A stone is dropped from a cliff on the moon and hits the ground 20 seconds later. How high is the cliff?
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  2. #2
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    Quote Originally Posted by Hibijibi View Post
    Last question and I'm done! And I'm also stuck, word problems are more of a sore for me than integrals.

    1) On the moon the acceleration due to gravity is -1.6 meters per second. A stone is dropped from a cliff on the moon and hits the ground 20 seconds later. How high is the cliff?
    Ok there are a bunch of nice physics formulas called the kinematic equations which are great for this stuff, but I'm sure you're supposed to derive it through calculus.

    So you start with a = -1.6\frac{m}{s^2} . Integrate that dt and you should get -1.6t + c_1. What is C1? It's the initial velocity. You now have a velocity function. Integrate once more and you should get \frac{-1.6}{2}t^2 + v_{0}t+c_2. What is C2? That's the initial displacement. You now have a position function. Plug and chug.

    How does that look?
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  3. #3
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    Looks like solved. Thanks!
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