I usually know how to do these but this one gives me trouble.
If a ball is thrown into the air with a velocity of 46 ft/s, its height in feet t seconds later is given by $y = 46t − 16t_{2}$.
(a) Find the average velocity for the time period beginning when t = 2 and lasting for each of the following. .5 seconds ______ .1 seconds ______ .05 seconds _______ .01 seconds ______
(b) Estimate the instantaneous velocity when $t = 2$.
_______ ft/s
You have height $h$ as a function of time $h=f(t)$
The rate of change of height is the velocity so take the derivative of height with respect to time to get a function for velocity $v$.
To get the average of $v$ from time $t=2$ to a final time $t=T$ use the integral
$\frac{1}{T-2}\int_{2}^{T}v dt$