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A rural mail carrier is driving slowly, putting mail in

Chapter 2, Problem 7P

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QUESTION:

A rural mail carrier is driving slowly, putting mail in mailboxes near the road. He overshoots one mailbox, stops, shifts into reverse, and then backs up until he is at the right spot. The velocity graph of Figure P2.4 represents his motion.

a. Draw the mail carrier’s position-versus-time graph. Assume that x = 0 m at t = 0 s.

b. What is the position of the mailbox?

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QUESTION:

A rural mail carrier is driving slowly, putting mail in mailboxes near the road. He overshoots one mailbox, stops, shifts into reverse, and then backs up until he is at the right spot. The velocity graph of Figure P2.4 represents his motion.

a. Draw the mail carrier’s position-versus-time graph. Assume that x = 0 m at t = 0 s.

b. What is the position of the mailbox?

ANSWER:

Step 1 of 5

a)

Dividing the graph into three sections:

From t = 0 s to t = 6 s,

Velocity is V = 3 m/s

Distance traveled is found by the area under the graph,

Hence for this time interval:

\(d_1=3\times6=18\mathrm{m}\)

Hence the distance traveled in 6 s is 18 m.

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