Cindy Rodgers, Teacher at Grissom High School, Numerade Educator

05:04

Calculus: Early Transcendentals

If a ball is thrown into the air with a velocity of $ 40 ft/s $, its height in feet $ t $ seconds later is given by $ y = 40t - 16t^2 $.

(a) Find the average velocity for the time period beginning when $ t = 2 $ and lasting
(i) 0.5 seconds (ii) 0.1 seconds
(iii) 0.05 seconds (iv) 0.01 seconds
(b) Estimate the instantaneous velocity when $ t = 2 $.

Chapter 2: Limits and Derivatives

Section 1: The Tangent and Velocity Problems