Q.

For the velocity-time graph as shown in the figure, in a time interval from t = 0 to t = 6 s, match the following columns and mark the correct option from the codes given below.

Question Image
Column IColumn II
(A) Change in velocity(p) - 5/3 SI unit
(B) Average acceleration(q) - 20 SI unit
(C) Total displacement(r) - 10 SI unit
(D) Acceleration at t = 3 s(s) - 5 SI unit

Codes 

         A   B   C   D

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a

r  p  r  s

b

p  r  q  s

c

q  p  s  r

d

p  r  s  q

answer is C.

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Detailed Solution

v1 = + 10 ms-1   and vf = 0

         Δv=vf-vi=-10 ms-1

             aav=ΔvΔt=-106=-53 ms-2 

Total displacement = Area under v-t graph (with sign)

                     =12×10×2-12×2×10-12×2×10=-10 m 

and acceleration = slope of v- t graph

                      =-102=-5 ms-2

Hence, Ar,  Bp,  Cr,  Ds

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For the velocity-time graph as shown in the figure, in a time interval from t = 0 to t = 6 s, match the following columns and mark the correct option from the codes given below.Column IColumn II(A) Change in velocity(p) - 5/3 SI unit(B) Average acceleration(q) - 20 SI unit(C) Total displacement(r) - 10 SI unit(D) Acceleration at t = 3 s(s) - 5 SI unitCodes          A   B   C   D