**Title: Analyzing Instantaneous Velocity of a Car Using Position-Time Graph****Introduction:**This exercise involves a test car traveling in a straight line along the x-axis. The goal is to analyze the car's motion through its position-time graph and calculate its instantaneous velocity at specific points.**Graph Analysis:**The graph represents the car's position \(x(t)\) in meters as a function of time \(t\) in seconds.**Key Points on the Graph:**- **Vertical Axis (x):** Represents position in meters.- **Horizontal Axis (t):** Represents time in seconds.**Points of Interest:**- **A (t = 0 s, x = 10 m)**- **B (t = 2 s, x = 35 m)**- **C (t = 4 s, x = 40 m)**- **D (t = 5 s, x = 30 m)**- **E (t = 6 s, x = 20 m)**- **F (t = 7 s, x = 0 m)**- **G (t = 8 s, x = 10 m)****Objective:**Calculate the instantaneous velocity of the car at points A through G.**Conclusion:**By examining the slope of the tangent line at each point, you can determine the instantaneous velocity. This exercise provides valuable insight into the relationship between position and velocity, illustrating how velocity is derived from the position-time graph.

Answered: Image /qna-images/answer/a1111227-a85a-4453-983e-46e123b8c9cb.jpg

A test car travels in a straight line along the x-axis. The graph in Fig. shows the car's position x as a function of time. Find its instantaneous velocity at points A through G x (m) 40 B 30 A P 20 10 1 2 3 4 5 D E 6 7 8 9 10 F G t(s)

A test car travels in a straight line along the x-axis. The graph in Fig. shows the car's position x as a function of time. Find its instantaneous velocity at points A through G x (m) 40 B 30 A P 20 10 1 2 3 4 5 D E 6 7 8 9 10 F G t(s)

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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