If a ball is thrown into the air with a velocity of 34 ft/s, its height in feet t seconds later is given by y = 34t − 16t2.(a) find the average velocity for the time period beginning when t = 2 and lasting for each of the following.(i) 0.5 seconds ft/s(ii) 0.1 seconds ft/s(iii) 0.05 seconds ft/s(iv) 0.01 seconds ft/s(b) estimate the instantaneous velocity when t = 2. ft/s

(a). (i) ; (ii) ; (iii); (iv)

(b).

Step-by-step explanation:

The formula you need to use is:

Then, in this case:

(a) Susbtituting values, we get:

(i)  

(ii)  

(iii)  

(iv)  

(b) Observe that as the time after 2 second gets smaller, the average velocity gets closer to . Therefpre, we can can estimate that the instantaneous velocity when is:

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept