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How to integrate with position, velocity and accelleration

  • Calculus -

    The integral of acceleration is velocity.
    The integral of velcotiy is position.
    All three are vectors, so the integration has to be peformed in three different perpendicular dimensions, in general.
    Unless you have a specific example in mind, there is not much more I can say.

  • Calculus -

    well i have this homework question that says:

    A rock is dropped from the top of a 300-ft cliff. It's velocity at time t seconds is v(t0= -32 t feet per second.

    a.) Find the height of the rock above the ground at time t.

    b.) How long will the rock take to reach the ground?

    c.) What will be the velocity when it hits the ground?

    That is the problem I am working with tonight.

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