Question

How do you find the instantaneous velocity at t = 2 for the position function s(t) = t^3 + 8t^2 - t? a) Calculate the derivative of s(t) with respect to time and evaluate it at t = 2. b) Integrate s(t) with respect to time from 0 to 2. c) Use the average velocity formula at t = 2. d) Calculate the slope of the tangent line to the graph of s(t) at t = 2.

Answer 1

Option A

Step-by-step explanation:

To find the inst. velocity, we need to derivative the position with respect to time and then evaluate it at t = 2 sec

Using this formula: v(t) = ds(t)/dt