SI Worksheet 5 The Derivative as a Rate of Change and the Product and Quotient Rule {You must show all the work to receive full credit] 1. A pilot ejects from an aircraft and moves according to the distance (5) in feet, time (t) in seconds equation. Using the equation below find the following information. s(t) = 3t3 + 81: + 200 (6R) A) The equation of the pilot's velocity. B) The average velocity between t = 1 and t = 3. C} The instantaneous velocity at t = 2. D) The equation of the pilot's acceleration. E) The instantaneous acceleration at t = 2. F) The pilot's maximum height