Let s=30/(t^2+12) be the position function of a particle moving along a coordinate line, where s is in feet and t is in seconds.
(a) Find the maximum speed of the particle for t>=0 . If appropriate, leave your answer in radical form.
Speed (ft/sec): ?
(b) Find the direction of the particle when it has its maximum speed.

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If t is >= 0, plug in 0 in the equaion and you'll get :
s(0) = 30/12 ft/sec
I guess ^_^

I don't think that is the correct, answer. Give me a few minutes, I will do this problem.

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