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10. The position of a 25 kg robot that is moving along a straight track in the x direction is given by the function r(t) = (0.002 m/s²)t² + (−0.08 m/s³)t³+(0.8 m/s²)t² between the times t = 0 and t = 20s. This function is shown in the graph below. 11. (a) Describe what is going on near t = 10 s. OD DAY TOCA (b) What is the average speed of the robot during the first 10 s? SOLD (c) What is the average speed of the robot over the entire 20 s? position (m) 20 15 -10 time (s) 10 15 20 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? to bu(b) What is the average velocity of the athlete over one full repetition of this exercise?

10. The position of a 25 kg robot that is moving along a straight track in the x direction is given by the function r(t) = (0.002 m/s²)t² + (−0.08 m/s³)t³+(0.8 m/s²)t² between the times t = 0 and t = 20s. This function is shown in the graph below. 11. (a) Describe what is going on near t = 10 s. OD DAY TOCA (b) What is the average speed of the robot during the first 10 s? SOLD (c) What is the average speed of the robot over the entire 20 s? position (m) 20 15 -10 time (s) 10 15 20 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? to bu(b) What is the average velocity of the athlete over one full repetition of this exercise?

College Physics
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 on questions 10,11, and 12. And for question 12 could you tell me which direction it is going as well?

**Text Transcription and Explanation:** --- **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. **(a)** Describe what is going on near \( t = 10 \, \text{s} \). **(b)** What is the average speed of the robot during the first 10 s? **(c)** What is the average speed of the robot over the entire 20 s? **Graph Description:** - **Y-axis (Position in meters):** Ranges from 0 to 20 meters. - **X-axis (Time in seconds):** Ranges from 0 to 20 seconds. - The curve starts at the origin (0,0), rises to a peak near \( t = 10 \, \text{s} \) at roughly 20 meters, and then falls back down, approaching 0 as \( t \) approaches 20 seconds. --- **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 14 s 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? **(b)** What is the average velocity of the athlete over one full repetition of this exercise? --- **12.** What is the velocity of the object 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 positions at half-second intervals.) **Motion Diagram Description:** - A series of small dots on a straight line illustrate the object's motion. -
Transcribed Image Text:**Text Transcription and Explanation:** --- **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. **(a)** Describe what is going on near \( t = 10 \, \text{s} \). **(b)** What is the average speed of the robot during the first 10 s? **(c)** What is the average speed of the robot over the entire 20 s? **Graph Description:** - **Y-axis (Position in meters):** Ranges from 0 to 20 meters. - **X-axis (Time in seconds):** Ranges from 0 to 20 seconds. - The curve starts at the origin (0,0), rises to a peak near \( t = 10 \, \text{s} \) at roughly 20 meters, and then falls back down, approaching 0 as \( t \) approaches 20 seconds. --- **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 14 s 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? **(b)** What is the average velocity of the athlete over one full repetition of this exercise? --- **12.** What is the velocity of the object 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 positions at half-second intervals.) **Motion Diagram Description:** - A series of small dots on a straight line illustrate the object's motion. -
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