First slide

Second law

Question

The linear momentum of a particle varies with time t as P = a + bt + ct². Then which of the following is correct ?

Moderate

A

Velocity of particle is inversely proportional to time
B

Displacement of the particle is independent of time
C

Force varies with time in a quadratic manner
D

Force is dependent linearly on time

Solution

P = a + bt + 2ct²
F = dp/dt = b + 2ct

Force is dependent linearly on time.

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