A car is traveling on a straight road and s(t) is the distance traveled after t hours. Match each set of information about s(t) and its derivatives with the corresponding description of the car’s motion.

Information

A. s(t) is a constant function.

B. s(t) is a positive constant function.

C. s(t) is positive at t = a.

D. s(t) is negative at t = a.

E. s(t) and s(t) are positive at t = a.

F. s(t) is positive and s(t) is negative at t = a.

Descriptions

a. The car is moving forward and speeding up at time a.

b. The car is backing up at time a.

c. The car is standing still.

d. The car is moving forward, but slowing down, at time a.

e. The car is moving forward at a steady rate.

f. The car is moving forward at time a.