1- A particle moves along the x axis. Its position varies with time according to the expression x=-41+ 2f where x is in meters and t is in seconds. The position-time graph for this motion is shown in Figure. Note that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment = 1 s, and moves in the positive x direction at times /> 1 s. (A) Determine the displacement of the particle in the time intervals t=0 to 1= 1 s and/= 1 s to / = 3 s. B) Calculate the average velocity during these two-time intervals C) determine the instantaneous velocity and instantaneous speed at t= 0.5 s.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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1- A particle moves along the x axis. Its position varies with time according to the expression
x=-41+ 2f where x is in meters and t is in seconds. The position-time graph for this motion
is shown in Figure. Note that the particle moves in the negative x direction for the first second
of motion, is momentarily at rest at the moment 1 = 1 s, and moves in the positive x direction
at times /> 1 s.
(A) Determine the displacement of the particle in the time intervals t=0 to 1=1 s and t= 1 s
to / = 3 s.
B) Calculate the average velocity during these two-time intervals
C) determine the instantaneous velocity and instantaneous speed at t= 0.5 s.
x(m)
Slope = 4 m/s
10
00
8
9
10
O
Slope =-2 m/s
1
2
015
t(s)
Transcribed Image Text:1- A particle moves along the x axis. Its position varies with time according to the expression x=-41+ 2f where x is in meters and t is in seconds. The position-time graph for this motion is shown in Figure. Note that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment 1 = 1 s, and moves in the positive x direction at times /> 1 s. (A) Determine the displacement of the particle in the time intervals t=0 to 1=1 s and t= 1 s to / = 3 s. B) Calculate the average velocity during these two-time intervals C) determine the instantaneous velocity and instantaneous speed at t= 0.5 s. x(m) Slope = 4 m/s 10 00 8 9 10 O Slope =-2 m/s 1 2 015 t(s)
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