An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below. x (m) 100- 80 DA B 60 40 20 t (s) 60 10 20 30 40 50 (a) For each segment of the graph, find the magnitude and direction of the athlete's velocity. magnitude v, 6 m/s direction VA positive x magnitude vg m/s direction VB The magnitude is zero. v magnitude vc Remember that velocity is the change in position per the change in time. If the graph plots position vs. time, what property of the plot in each segment is related to velocity? Think about the initial and final times and positions for each segment. m/s direction vc negative x magnitude vp D4 V m/s direction Vp Ppositive x (b) What are the magnitude and direction of the athlete's average velocity over the entire 60 s interval? magnitude 1.67 m/s direction positive x

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section5.1: Vectors
Problem 3PP
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An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below.
X (m)
100-
80
D
B
60
40
A
20
t (s)
60
10
20
30
40
50
(a) For each segment of the graph, find the magnitude and direction of the athlete's velocity.
magnitude VA 6
m/s
direction VA
positive x
magnitude VB
m/s
direction
VB
The magnitude is zero. v
magnitude vc
Remember that velocity is the change in position per the change in time. If the graph plots position vs. time, what property of the plot in each
segment is related to velocity? Think about the initial and final times and positions for each segment. m/s
direction vc
negative x
magnitude VD 4
m/s
direction vD
positive x
(b) What are the magnitude and direction of the athlete's average velocity over the entire 60 s interval?
magnitude
1.67
m/s
direction
positive x
Transcribed Image Text:An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below. X (m) 100- 80 D B 60 40 A 20 t (s) 60 10 20 30 40 50 (a) For each segment of the graph, find the magnitude and direction of the athlete's velocity. magnitude VA 6 m/s direction VA positive x magnitude VB m/s direction VB The magnitude is zero. v magnitude vc Remember that velocity is the change in position per the change in time. If the graph plots position vs. time, what property of the plot in each segment is related to velocity? Think about the initial and final times and positions for each segment. m/s direction vc negative x magnitude VD 4 m/s direction vD positive x (b) What are the magnitude and direction of the athlete's average velocity over the entire 60 s interval? magnitude 1.67 m/s direction positive x
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