The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals. х (m) 10 8 6 2 t (s) 1 2 3 4 5 6 7 8 -2 (a) 0 to 2 s m/s (b) 0 to 4 s m/s (c) 2 to 6 s m/s (d) 2 to 7 s m/s (e) 0 to 7 s m/s

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Chapter1: Units, Trigonometry. And Vectors
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The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals.
x (m)
10
8
6
4
t (s)
1 2 3 4 5 6 7 k
-2
-4
-6
(a) 0 to 2 s
m/s
(b) 0 to 4 s
m/s
(c) 2 to 6 s
m/s
(d) 2 to 7s
m/s
(e) 0 to 7 s
m/s
Transcribed Image Text:The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals. x (m) 10 8 6 4 t (s) 1 2 3 4 5 6 7 k -2 -4 -6 (a) 0 to 2 s m/s (b) 0 to 4 s m/s (c) 2 to 6 s m/s (d) 2 to 7s m/s (e) 0 to 7 s m/s
Expert Solution
Step 1

Solution:

Formula: Average Velocity = Displacement/Change in time

a) 0 to 2 s

change in time = 2 - 0 = 2 s

displacement = 10 - 0 = 10 m

Average velocity = 10/2 = 5 m/s     Answer

b) 0 to 4 s

change in time = 4 - 0 = 4 s

displacement = 5 - 0 = 5 m

Average velocity = 5/4 = 1.25 m/s Answer

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