The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds)
s=-2+5 cos t
Find the body's velocity at time t=pi/3 sec.

Question

The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds)
s=-2+5 cos t
Find the body's velocity at time t=pi/3 sec.

mathmale · Answer

Dear Lamp,
I take it you're in a Calculus course.
If so, finding the velocity of the moving body at a particular time involves finding the derivative of the position equation x = -2 + 5cos t.  Mind doing that?  Label the result "v(t)" (for velocity as a function of time).
Now substitute t=pi/3 and evaluate the velocity formula.  Be certain to provide the correct units of measurement for velocity.  Good luck!