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Question

vt graph for rectilinear motion is given as shown in the figure. Matched the column on the basic of the vt graph.

Solution
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R.E.F image
A) By definition : Avg. velocity = totaldisplacementtotaltimetaken
AS V=dxdtx=x.dt
So to find displacement, see the area under the from graph:
(Area under A)< (Area under B)< (Area under C)
(x)A<(x)B<(x)C
(Avg.vel)A<(Avg.vel)B<(Avg.vel)CAns:4
B) REF.Image.
For acceleration check the
slope of v-t graph as
a=dvdt
At t=t1:mA>mB>MC
aA>aB>aC
Ans:2,3
C) REF. Image.
At t=0:mC>mB>mA
aC>aB>aA
Ans:4
(D) Speed Magnitude of velocity.
as velocity for all 3 answer has same value
t=t1Ans:1

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