Chapter 11.3, Problem 15E

Work these exercises. (See Examples 2 and 3.)

Velocity A car is moving along a straight test track. The position (in feet) of the car, s(t), at various times t is measured, with the following results:

t (seconds)	0	2	4	6	8	10
s(t) (feet)	0	10	14	20	30	36

Find and interpret the average velocities for the following changes in t:

a. 0 to 2 seconds;

b. 2 to 4 seconds;

c. 4 to 6 seconds;

d. Estimate the instantaneous velocity at 4 seconds

i. by using the formula for estimating the instantaneous rate (with $h=2$) and

ii. by averaging the answers for the average velocity in the 2 seconds before and the 2 seconds afterwards (that is, the answers to parts (b) and (c)).