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A particle of mass m is moving with a uniform velocity v₁. It is given an impulse such that its velocity becomes v₂. The impulse is equal to

1. m|v₂ − v₁|
2. 1/2 m(v₂² − v₁²)
3. m(v₁ + v₂)
4. m(v₂ − v₁)

Correct answer: m(v₂ − v₁)

Solution

Impulse is defined as the change in momentum of the particle. The initial momentum is mv₁, and the final momentum is mv₂. The change in momentum is m(v₂ − v₁), which is the impulse.

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