Velocity-time equation of a particle moving in a straight line is v = 2t - 4 for t ≤ 2 s and v = 4-2t for t> 2 s. The distance travelled by the particle in the time interval from t = 0 to t = 4 s is (Here, t is in second and v in m/s)

12 m

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16 m

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4 m

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8 m

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Solution

The correct options are
A 12 m
D 8 m
Velocity - time graph of the particle is as shown in figure

Magnitude of area of V - t graph is the distance travelled by the particle.

∴

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Velocity-time equation of a particle moving in a straight line is v = 2t - 4 for t ≤ 2 s and v = 4-2t for t> 2 s. The distance travelled by the particle in the time interval from t = 0 to t = 4 s is (Here, t is in second and v in m/s)

The correct options are A 12 m D 8 mVelocity - time graph of the particle is as shown in figure Magnitude of area of V - t graph is the distance travelled by the particle. ∴

The correct options are
A 12 m
D 8 m
Velocity - time graph of the particle is as shown in figure

Magnitude of area of V - t graph is the distance travelled by the particle.

∴