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calculus

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the height in feet of a rocket from ground level is given by the function f(t)= -16t^2+160t. what is the instantaneous velocity of the rocket 3 seconds after it is launched?

A 32 feet/sec
B 64 feet/sec
C 12 feet/sec
D 10 feet/sec
E 8 feet/sec

  • calculus - ,

    okay - another power example. What do you get?

  • calculus - ,

    do i plug 3 in for t?

  • calculus - ,

    first take the derivative, which is the velocity at any instant.

    ds/dt = ft/s, or velocity

    Plug 3 into that.

  • calculus - ,

    its going to be 32 hun

  • calculus - ,

    Hmm. How did you get that, jessica?

    f'(t) = -32t + 160
    f'(3) = -96 + 160 = 64

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