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Question

Some parameters are given in Column - I which are to be matched with their correct answers given in Column - II.
Choose the correct option.
Column IColumn IIa)Velocity at t=0 of a particle followingp)αequation x=u(t8)+α(t2)2b)Acceleration of a particle moving according to equationq)2αx=4(t5)+α(t2)2 at t=0c)Velocity of the particle moving according to equationr)ux=ut+5α t2 ln(1+t2)+α t2 at t=0d)Acceleration of the particle moving according to the equations)u4αx=ut+5α t2 ln(1+t2)+α t2 at t=0

A
as bq cr dq
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B
ap br cq dq
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C
ap br cs dq
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D
ap bq cr ds
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Solution

The correct option is A as bq cr dq
as bq cr dq
a) x=u(t8)+α(t2)2
v=u+2α(t2)×1
v=u+2α(t2)
at t=0,
v=u4α

b) x=4(t5)+α(t2)2
v=4+2α(t2)
a=2α
at t=0, a=2α

c) x=ut+5αt2 ln(1+t2)+αt2
v=u+10αt(ln(1+t2))+5α t2.121+t2+2αt
at t=0,
v=u+0+0+0=u

d) x=ut+5αt2 ln(1+t2)+αt2
v=u+10αtln(1+t2)+5αt22+t+2αt
a=10α ln(1+t2)+10αt.121+t2+[(2+t)(10αt)5αt2(2+t)2]+2α
at t=0,
a=0+0+0+2α=2α

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