**Problem Overview:**A rider on horseback moves according to the velocity vs. time graph shown. Find the displacement of the rider over segment C.**Graph Description:**- **Axes:** - The x-axis represents time in seconds (s) from 0 to 25 seconds. - The y-axis represents velocity in meters per second (m/s) from 0 to 8 m/s.- **Segments:** - The graph is divided into three line segments labeled A, B, and C. - **Segment A**: - From (0 s, 0 m/s) to (10 s, 2 m/s). - **Segment B**: - From (10 s, 2 m/s) to (15 s, 6 m/s). - **Segment C**: - From (15 s, 6 m/s) to (25 s, 2 m/s).**Question Options for Displacement Over Segment C:**- A. 20 m- B. 10 m- C. -10 m- D. -20 m/s- E. none of the above**Solution:**To find the displacement over segment C, calculate the area under the velocity-time graph from 15 to 25 seconds. The area can be calculated as a trapezoid with bases 6 m/s and 2 m/s and a height of 10 s.- **Trapezoid Area Formula:** \[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \] \[ \text{Area} = \frac{1}{2} \times (6 + 2) \times 10 = 40 \, \text{m} \]Thus, the displacement over segment C is **40 meters**. However, none of the provided options match this result, suggesting option E, "none of the above," might be correct. **Question 1**A rider on horseback moves according to the velocity vs. time graph shown. Find the rider’s average acceleration over segment C.**Graph Description:**- The graph is a velocity vs. time graph with velocity (v) in meters per second (m/s) on the y-axis and time (t) in seconds (s) on the x-axis.- The graph is divided into three segments labeled A, B, and C.- Segment A: From (0, 0) to (10, 4).- Segment B: From (10, 4) to (15, 6).- Segment C: From (15, 6) to (25, 0).**Answer Choices:**- A: \(0.4 \, \text{m/s}^2\)- B: \(-2.5 \, \text{m/s}^2\)- C: \(-0.4 \, \text{m/s}^2\)- D: \(0 \, \text{m/s}^2\)- E: None of the above

Name: **Problem Overview:**A rider on horseback moves according to the velo
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: **Problem Overview:**A rider on horseback moves according to the velocity vs. time graph shown. Find the displacement of the rider over segment C.**Graph Description:**- **Axes:** - The x-axis represents time in seconds (s) from 0 to 25 seconds. -