A bicycle moves according to the velocity-versus-time graph shown in the figure. (The vertical axis is marked in increments of 6 m/s and the horizontal axis is marked in increments of 5 s.) a) Find the average acceleration of the bicycle during each of the segments of motion, A, B, and C. = 2.4 a "A m/s2 a. -0 m/s2 -0.6 m/s2 b) Find the displacement of the bicycle during each of the segments of motion, A, B, and C. XA = XB = Xc = В A Time, t (s) Velocity, v (m/s)

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Chapter1: Units, Trigonometry. And Vectors
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**Educational Content: Motion Analysis Using a Velocity-Time Graph**

A bicycle moves according to the velocity-versus-time graph shown in the figure. The vertical axis is marked in increments of 6 m/s and the horizontal axis is marked in increments of 5 s.

### a) Average Acceleration

Find the average acceleration of the bicycle during each of the segments of motion, A, B, and C.

- \( a_A = 2.4 \, \text{m/s}^2 \)
- \( a_B = 0 \, \text{m/s}^2 \)
- \( a_C = -0.6 \, \text{m/s}^2 \)

### b) Displacement

Find the displacement of the bicycle during each of the segments of motion, A, B, and C.

- \( x_A = \, \text{m} \)
- \( x_B = \, \text{m} \)
- \( x_C = \, \text{m} \)

### Graph Details

The graph at the bottom of the figure shows velocity (v in m/s) on the vertical axis and time (t in seconds) on the horizontal axis. Key points include:

- Segment A: Starts at the origin (0,0) and increases linearly, reaching peak velocity.
- Segment B: Velocity remains constant.
- Segment C: Velocity decreases linearly, returning towards the baseline.
Transcribed Image Text:**Educational Content: Motion Analysis Using a Velocity-Time Graph** A bicycle moves according to the velocity-versus-time graph shown in the figure. The vertical axis is marked in increments of 6 m/s and the horizontal axis is marked in increments of 5 s. ### a) Average Acceleration Find the average acceleration of the bicycle during each of the segments of motion, A, B, and C. - \( a_A = 2.4 \, \text{m/s}^2 \) - \( a_B = 0 \, \text{m/s}^2 \) - \( a_C = -0.6 \, \text{m/s}^2 \) ### b) Displacement Find the displacement of the bicycle during each of the segments of motion, A, B, and C. - \( x_A = \, \text{m} \) - \( x_B = \, \text{m} \) - \( x_C = \, \text{m} \) ### Graph Details The graph at the bottom of the figure shows velocity (v in m/s) on the vertical axis and time (t in seconds) on the horizontal axis. Key points include: - Segment A: Starts at the origin (0,0) and increases linearly, reaching peak velocity. - Segment B: Velocity remains constant. - Segment C: Velocity decreases linearly, returning towards the baseline.
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