A bike messenger travels at a constant v = 10m/s for 5s, changes his velocity to v = −2m/s for 4s, stops for 10s, then rides at 4m/s for 12s. (a) Sketch a velocity vs. time graph for this motion. (b) Sketch a position vs. time graph for this motion. (c) What is the messenger’s average velocity?

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A bike messenger travels at a constant v = 10m/s for 5s, changes his velocity to v = −2m/s
for 4s, stops for 10s, then rides at 4m/s for 12s.
(a) Sketch a velocity vs. time graph for this motion.
(b) Sketch a position vs. time graph for this motion.
(c) What is the messenger’s average velocity?
(d) What is the messenger’s average acceleration?
(e) What is the messenger’s average speed?

Expert Solution
Step 1

In the given problem, the messenger travels at a constant speed of 10 m/s for a time of 5 seconds, after which he changes his velocity to -2 m/s, and travels at this velocity for 4 seconds, after which he stops for a time of 10 seconds and then finally rides at 4 m/s  for a time of 12 seconds.

A velocity vs time graph for this motion will be a plot between the velocity of the messenger at different time intervals, this graph is plotted below

Advanced Physics homework question answer, step 1, image 1

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Follow-up Questions
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Follow-up Question

What is the messenger’s average acceleration?

 What is the messenger’s average speed?

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