Velocity and Acceleration of a Car A car rolls down a

Chapter 5, Problem 94A

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Problem 94A

Velocity and Acceleration of a Car A car rolls down a hill. Its distance (in feet) from its starting point is given by s(t) = 1.5t2 + 4t, where t is in seconds.

a. How far will the car move in 10 seconds?

b. What is the velocity at 5 seconds? At 10 seconds?

c. How can you tell from v(t) that the car will not stop?

d. What is the acceleration at 5 seconds? At 10 seconds?

e. What is happening to the velocity and the acceleration as t increases?

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