Question

object is moving in space according to s(t)=(t^4)-t where t is in seconds and s(t) is in feet. find the instaneous velocity at t = 2 feet.

Answer 1

it is called derivative

Answer 2

what do you mean ?

Answer 3

velocity is derivative of position function they gave you

Answer 4

The instantaneous velocity at \(t=2\) feet is the derivative (rate of change) of \(s(t)\) when \(t=2\).

Basically, find the derivative \(s'(t)\) and plug in \(t=2\) to find \(s'(2)\).