v−t graph for rectilinear motion is given as shown in the figure. Matched the column on the basic of the v−t graph.
R.E.F image
A) By definition : Avg. velocity = totaldisplacementtotaltimetaken
AS V=dxdt⇒△x=∫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)C⇒Ans: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=t1⇒Ans:1