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

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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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 s
10 s
25 s
50 s
30 m
50 m
90 m
130 m
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
Transcribed Image Text: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 s 10 s 25 s 50 s 30 m 50 m 90 m 130 m 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
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