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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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.

Mathematics
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What's your question? Or do you just want someone to do your homework for you?
i just want someone to explain to me how to do this question and it would be nice to get the answer as well.
You're given position as a function of time; the first step is to find speed as a function of time. What class is this for?

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calculus
ok, so, speed(as a function of time) is just the derivative of position(as a function of time); what's the derivative of the given position function?

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