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.

Question

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.

anonymous · Answer

What's your question?  Or do you just want someone to do your homework for you?

anonymous · Answer

i just want someone to explain to me how to do this question and it would be nice to get the answer as well.

anonymous · Answer

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?

anonymous · Answer

calculus

anonymous · Answer

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?