2. What is the motion function x(t) of the runner? Hint: x(t) = (slope) t + intercept. x(t) - 3. What is the rate-of-change (derivative) of x(t) ? dx/dt - 4. What is the velocity of the runner ? Exercise A runner is running at a "steady pace". The following picture shows the location of the runner at five different readings of a stopwatch. 0.0. 10s 30 s 50 25 s 30 50m 80m 90 130 1. Plot the five "events" (t,x)and draw the worldline of the runner on the spacetime diagram: 140 - 120 - 100 - X (m) 80- 60 - 40- 20 - t(s) 10 20 30 40 50

2. What is the motion function x(t) of the runner? Hint: x(t) = (slope) t + intercept. x(t) - 3. What is the rate-of-change (derivative) of x(t) ? dx/dt - 4. What is the velocity of the runner ? Exercise A runner is running at a "steady pace". The following picture shows the location of the runner at five different readings of a stopwatch. 0.0. 10s 30 s 50 25 s 30 50m 80m 90 130 1. Plot the five "events" (t,x)and draw the worldline of the runner on the spacetime diagram: 140 - 120 - 100 - X (m) 80- 60 - 40- 20 - t(s) 10 20 30 40 50

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 16P: Draw motion diagrams for (a) an object moving to the right at constant speed, (b) an object moving...

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