The velocity of a (fast) automobile on a straight highway is given by the function to the right, where t is measured

in seconds and v has units of m/s.

Av

V

Question 6, 6.1.27

Part 1 of 6

a. Graph the velocity function for 0 st ≤100. When is the velocity a maximum? When is the velocity zero?

b. What is the distance traveled by the automobile in the first 30 s?

c. What is the distance traveled by the automobile in the first 75 s?

d. What is the position of the automobile when t = 90?

a. Graph the velocity function for 0 st ≤100. Choose the correct graph below.

O A.

75+

-85-

O B.

85

A v

>

-75-

100

Q

(…)

O C.

Av

V

HW Score: 16.59%, 7.13 of 43 points

O Points: 0 of 5

75+

-85-

Q

3t

v(t) = 75

if 0

if 25 ≤t<50

225-3t t≥ 50

OD.

85

Av

-75-

V

100

Q

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