The position of a particle at time t is s(t)=t^3+t. compute the average velocity over the time interval [1,4] and estimate the instantaneous velocity at t=1. p.s i figured the average velocity is 22, but what is the instantaneous velocity at t=1?

Question

The position of a particle at time t is s(t)=t^3+t. compute the average velocity over the time interval [1,4] and estimate the instantaneous velocity at t=1.  p.s i figured the average velocity is 22, but what is the instantaneous velocity at t=1?

anonymous · Answer

instantaneous velocity at t=1 = s'(1)

you'll need to find s'(t) firs. it's velocity: the time derivative of position

anonymous · Answer

what is the formula for that?