The average velocity of an object with position function

s(t)

on the interval

a,a+h

is

/bar (v)=(\Delta s)/(\Delta t)=(s(a+h)-s(a))/(h)

Given the position function below.

s(t)=-16t^(2)+105t+76

Find the average velocity of the projectile on the interval of length

h

that begins at

t=3

.

/bar (v)(h)=

The instantaneous velocity of an object with position function

s(t)

on the interval

a,a+h

is

v(a)=(ds)/(dt)=\lim_(h->0)(s(a+h)-s(a))/(h)

Find the instantaneous velocity of the projectile at

t=3

.

v(3)=s^(')(3)=