The picture gives an example of horizontal, one-dimensional motion. In this case, a bead is threaded through a diameter by a smooth wire. As the bead (treated as a particle) is acted upon by one or more influences that are not shown, it moves along the wire. The simulation also displays the particle’s position versus time plot.  Two time intervals are highlighted on the x vs. t plot, Δta=1 s−0 s and Δtb=4 s−0 s.

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The picture gives an example of horizontal, one-dimensional motion. In this case, a bead is threaded through a diameter by a smooth wire. As the bead (treated as a particle) is acted upon by one or more influences that are not shown, it moves along the wire. The simulation also displays the particle’s position versus time plot.  Two time intervals are highlighted on the x vs. t plot, Δta=1 s−0 s and Δtb=4 s−0 s.

 

What is the average velocity of the particle during the time interval Δta?
What is the average velocity of the particle during the time interval Δtb?

Consider a time interval Δt that begins at t=0. For what final instant t>0 is the average velocity for the particle equal to zero?

For which of the following time intervals is the particle’s average speed equal to its average velocity?

a. The time interval that begins at t1=0 s and ends at t2=1 s.

b. The time interval that begins at t1=1.5 s and ends at t2=3 s.

c. The time interval that begins at t1=3 s and ends at t2=4 s.

d. The time interval that begins at t1=0 s and ends at t2=3 s.

(a) Motion of Bead on x Axis
t= 5.000 s
x (m)
8-
-6
4.
-2
0.
4
(b)x Coordinate versus Time
Axa
Atb
9.
Ar
0,
-6
-81
4)
(3)
(u) x
Transcribed Image Text:(a) Motion of Bead on x Axis t= 5.000 s x (m) 8- -6 4. -2 0. 4 (b)x Coordinate versus Time Axa Atb 9. Ar 0, -6 -81 4) (3) (u) x
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