Question

If a ball is thrown in the air with a velocity 44 ft/s, its height in feet t seconds lateris given by y = 44t -16t2. (a) Find the average velocity for thetime period beginning when t = 2 and lasting 0.5second. ft/s(b) Find the average velocity for the time period beginning whent = 2 and lasting 0.1 second. ft/s(c) Find the average velocity for the time period beginning whent = 2 and lasting 0.05 second. ft/s(d) Find the average velocity for the time period beginning whent = 2 and lasting 0.01 second. ft/s(e) Estimate the instantaneous velocity when t = 2.

Answer 1

Answer: a. 28ft/s. b. 40.08ft/s. c. 42.4ft/s. d. 43.68ft/s. e. - 20ft/s

Step-by-step explanation: Since your displacement was given that is (y) , we just have to differentiate y with respect to time t. That is the first derivative only.

I have worked it out and here is the attachment.