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TS EAMCET · Physics · Motion In One Dimension

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

  1. A 150 m s-1
  2. B 75 m s-1
  3. C 37.5 m s-1
  4. D 45 m s-1
Verified Solution

Answer & Solution

Correct Answer

(B) 75 m s-1

Step-by-step Solution

Detailed explanation

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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