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Question: Answered & Verified by Expert

A particle starts from rest. Its acceleration a versus time t is as shown in the figure. The maximum speed of the particle will be

PhysicsMotion In One DimensionTS EAMCETTS EAMCET 2022 (18 Jul Shift 2)
Options:
  • A 150 m s-1
  • B 75 m s-1
  • C 37.5 m s-1
  • D 45 m s-1
Solution:
2741 Upvotes Verified Answer
The correct answer is: 75 m s-1

In the above graph, we can see that the acceleration of the particle is positive for the whole duration. Therefore, velocity will keep on increasing. The velocity will be maximum at t=15 s.

Area under acceleration time graph gives velocity. Therefore,

v15=12×10×15=75 m s-1.

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