calculus

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Can some explain how to do this problem? I tried using derivatives...but...I keep getting a different answer from what my teacher told me!

A projectile is fired directly upward with an initial velocity of 144 ft/sec and its height (in feet) above the ground after t seconds is given by s(t). Find the (a) the velocity and acceleration after t seconds (b) the maximum height and (c) the duration of the flight.

s(t)= 144-16t^2

  • calculus -

    Your equation is wrong.

    s(t)=144t-16t^2
    s'=velocity=144-32t
    s"=acceleration=-32ft/s^2

    Now try it.

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