• # question_answer A particle starts from rest at t = 0 and moves in a straight line with an acceleration as shown in figure. The velocity of the particle at t = 2.5 s is A) 2 m/s              B) 4 m/s   C)      6 m/s              D)      8 m/s

Correct Answer: B

Solution :

Let the velocity at $t=2.5\,s$be v. So the change in the velocity from$t=0$to $t=2.5\,s$is also v. Change in velocity = Area under a -t curve with proper sign. or,$v=4\times 1.5-2\times 1$ = 4 m/s. Hence, the correction option is (b).

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