A tennis ball is thrown into the air with velocity 56 feet per second. It's height in feet t seconds later is given by f(t)=56t-16t^2

A.) find the average velocity for the time period beginning when t=2 seconds and lasting....
i. 0.5 seconds. ii. 0.1
iii. 0.05. iv. 0.01

B.) using your work in part a, estimate the instantaneous velocity when t=2

Question

A tennis ball is thrown into the air with velocity 56 feet per second. It's height in feet t seconds later is given by f(t)=56t-16t^2

A.) find the average velocity for the time period beginning when t=2 seconds and lasting.... 
   i. 0.5 seconds.                  ii. 0.1
   iii. 0.05.                             iv. 0.01

B.) using your work in part a, estimate the instantaneous velocity when t=2

amistre64 · Answer

part A is just finding the slope between 2 points;  namely t=2 and t=2+d

part B, as the value of d gets smaller, what is the slope look like its getting closer to?

anonymous · Answer

I'm lost

irishboy123 · Answer

using $f(t)=56t-16t^2$
for i) , first calculate f(2.5) - f(2)

irishboy123 · Answer

that will give you the difference in height between those two points in time

yes?!

irishboy123 · Answer

then divide your answer by 0.5

0.5s is how long it too to move between those points

the calculation gives you an approximation of speed at t = 2.

those are the steps