Velocity and Accelerators In an 8-second test run, a vehicle accelerates for several secon...

Velocity and Accelerators In an 8-second test run, a vehicle accelerates for several seconds and then decelerates. The function s(t) gives the number of feet traveled after t seconds and is graphed in Fig. 6.

(a) How far has the vehicle traveled after 3.5 seconds?

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(b) What is the velocity after 2 seconds?

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(c) What is the acceleration after 1 second?

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(d) When will the vehicle have traveled 120 feet?

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(e) When, during the second part of the test run, will the vehicle be traveling at the rate of 20 feet per second?

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(f ) What is the greatest velocity? At what time is this greatest velocity reached? How far has the vehicle traveled at this time?

CHAPTER 1 The Derivative

Figure 6