Question

If a ball is thrown in the air with a velocity 44 ft/s, its height in feet t seconds later is given by y = 44t - 16t2. (Round your answers to one decimal place.)
(a) Find the average velocity for the time period beginning when t = 2 and lasting 0.5 second.
ft/s

(b) Find the average velocity for the time period beginning when t = 2 and lasting 0.1 second.
ft/s

(c) Find the average velocity for the time period beginning when t = 2 and lasting 0.05 second.
ft/s

(d) Find the average velocity for the time period beginning when t = 2 and lasting 0.01 second.
ft/s

(e) Estimate the instantaneous velocity when t = 2.
ft/s

Answer 1

all questions from a) to d) are done the same way

I will do c)
when t = 2, y = 44(2) - 16(2^2) = 24
when t = 2.05 , y = 44(2.05) - 16(2.05)^2 = 22.96

average velocity = (22.96 - 24)/(2.05 - 2) = -20.8

I will leave the conclusion for e) also up to you.

Answer 2

thnx buddy for explanation!!

Answer 3

You can't have negative velocity...

Answer 4

nevermind it worked out thanks