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# v−t graph for rectilinear motion is given as shown in the figure. Matched the column on the basic of the v−t graph.

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#### R.E.F image A) By definition : Avg. velocity = totaldisplacementtotaltimetakenAS V=dxdt⇒△x=∫x.dtSo 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)C⇒Ans:4B) REF.Image.For acceleration check theslope of v-t graph asa=dvdtAt t=t1:mA>mB>MC⇒aA>aB>aC Ans:2,3C) REF. Image.At t=0:mC>mB>mA⇒aC>aB>aAAns:4(D) Speed ≡ Magnitude of velocity.as velocity for all 3 answer has same valuet=t1⇒Ans:1

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