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IAT IISER2023PhysicsMotion in One Dimension

The velocity v(t) of a particle moving in one dimension is given by: v(t)= cases t, & 0 t T / 3 T / 3, & T / 3 t 2 T / 3 (T-t), & 2 T / 3 t T cases where ( 0) is a constant. What is the total displacement of the particle from time t=0 to t=T ?

Options

  1. A8 T^2 9
  2. B2 T^2 9
  3. C7 T^2 9
  4. D4 T^2 9

Correct answer

B. 2 T^2 9

Step-by-step solution

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