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    Topics || Problems

    The distance of y from the origin at time t is given by y =16t2 + 3000 t +1, 000. What is the initial velocity when t = 0?

    Solution:

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

    \( \frac{dy}{dt} = 32t 3000\)

    At t = 0

    \( \frac{dy}{dt} = 32(0) 3000\)

    At t = 0

    \( \frac{dy}{dt} = 3000\)