11. A practice exercise for athletes on a track team is to sprint 100 m along a straight section of the track and then immediately turn around and jog back to their starting position. An athlete completes the sprint in 14s and then jogs back at an average speed of 2.9 m/s. (a) What is the average speed of the athlete over one full repetition of this exercise? br(b) What is the average velocity of the athlete over one full repetition of this exercise? 12. What is the velocity of the ob- ject shown in the motion diagram to the right if the total time interval recorded was 4.0 s and the vertical lines mark off 4.0 m intervals? (The final position is where the large mark is. The small dot at the other end shows where it started. The small dots show its prior posi- tions at half-second intervals.) || ||||

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I need help with questions 11 and 12. For question 12 could you also tell me which direction is the object is going? 

**Question 10:**

The position of a 25 kg robot that is moving along a straight track in the x direction is given by the function \( x(t) = (0.002 \, \text{m/s}^4) t^4 + (-0.08 \, \text{m/s}^3) t^3 + (0.8 \, \text{m/s}^2) t^2 \) between the times \( t = 0 \) and \( t = 20 \text{s} \). This function is shown in the graph below.

- **Graph Explanation:** The graph plots the position (in meters) on the vertical axis against time (in seconds) on the horizontal axis. The position curve starts from the origin (0, 0), rises to a peak, and then falls back towards zero as time approaches 20 seconds.

**(a) Describe what is going on near \( t = 10s \).**

- Near \( t = 10s \), the graph shows the robot is at its maximum position before it starts returning towards its initial position.

**(b) What is the average speed of the robot during the first 10s?**

- The average speed is calculated by considering the total distance covered in the first 10 seconds.

**(c) What is the average speed of the robot over the entire 20s?**

- The average speed over the entire time duration can be assessed by taking the total distance covered during the 20 seconds.

**Question 11:**

A practice exercise for athletes on a track team is to sprint 100 m along a straight section of the track and then immediately turn around and jog back to their starting position. An athlete completes the sprint in 14s and then jogs back at an average speed of 2.9 m/s.

**(a) What is the average speed of the athlete over one full repetition of this exercise?**

- The average speed includes the total distance covered divided by the total time taken for the sprint and jog back.

**(b) What is the average velocity of the athlete over one full repetition of this exercise?**

- Since the athlete returns to the starting point, the displacement is zero, affecting the average velocity.

**Question 12:**

**Diagram Explanation:** 

What is the velocity of the object shown in the motion diagram to the right if the total time interval recorded was
Transcribed Image Text:**Question 10:** The position of a 25 kg robot that is moving along a straight track in the x direction is given by the function \( x(t) = (0.002 \, \text{m/s}^4) t^4 + (-0.08 \, \text{m/s}^3) t^3 + (0.8 \, \text{m/s}^2) t^2 \) between the times \( t = 0 \) and \( t = 20 \text{s} \). This function is shown in the graph below. - **Graph Explanation:** The graph plots the position (in meters) on the vertical axis against time (in seconds) on the horizontal axis. The position curve starts from the origin (0, 0), rises to a peak, and then falls back towards zero as time approaches 20 seconds. **(a) Describe what is going on near \( t = 10s \).** - Near \( t = 10s \), the graph shows the robot is at its maximum position before it starts returning towards its initial position. **(b) What is the average speed of the robot during the first 10s?** - The average speed is calculated by considering the total distance covered in the first 10 seconds. **(c) What is the average speed of the robot over the entire 20s?** - The average speed over the entire time duration can be assessed by taking the total distance covered during the 20 seconds. **Question 11:** A practice exercise for athletes on a track team is to sprint 100 m along a straight section of the track and then immediately turn around and jog back to their starting position. An athlete completes the sprint in 14s and then jogs back at an average speed of 2.9 m/s. **(a) What is the average speed of the athlete over one full repetition of this exercise?** - The average speed includes the total distance covered divided by the total time taken for the sprint and jog back. **(b) What is the average velocity of the athlete over one full repetition of this exercise?** - Since the athlete returns to the starting point, the displacement is zero, affecting the average velocity. **Question 12:** **Diagram Explanation:** What is the velocity of the object shown in the motion diagram to the right if the total time interval recorded was
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