Time (seconds) :arrow: Rate (m/sec)

0 :arrow: 0

5 :arrow: 5

10 :arrow: 7

15 :arrow: 10

20 :arrow: 12

25 :arrow: 13

30 :arrow: 11

35 :arrow: 9

40 :arrow: 8

45 :arrow: 7

50 :arrow: 6

A.) Explain why r(t) is a continuous function.

B.) Given some time (t=c) on (0, 50) and using correct units, explain the meaning of:

lim ((r(c)-r(t))/(c-t))

t -> c

C.) Is there some time on the interval (0, 50) such that r'(t)=0? Explain.

D.) Find the average acceleration on [10, 40]. Label your answer correctly!

E.) Approximate as accurately as possible the acceleration of the runner at t=30 seconds. Show your work and label your answer!