# (20 points.) A bicyclist has the position-versus-graph shown below:A.Model:

# (20 points.) A bicyclist has the position-versus-graph shown below:A.Model:

Explain how you will model this system. What assumptions will you make?

B.

Visualize:

1. Make a sketch of the setup showing the coordinate system used.

2. Sketch qualitatively a velocity-versus-time graph of the motion.

3. Draw a complete motion diagram for this situation, showing positions, average velocities, and

average accelerations. Indicate where the acceleration is zero.

C.

Solve:

1. Write a short qualitative description of the motion of the bicycle.

2. Find the total distance traveled by the bicycle during this 40 s time interval.

3. Find the total displacement of the bicycle during this 40 s time interval.

4. Find the bicycle’s average speed during this 40 s time interval.

5. Find the bicycle’s average velocity during this 40 s time interval.

6. Find the bicycle’s instantaneous velocity at

t

= 10 s, at

t

= 25 s, and at

t

= 35 s.

D.

Assess:

. Do your answers seem reasonable? Do they have the correct units?

Image transcription text

x (m)

100

50

10

20

30

40