The magnitude of change in velocity of a particle
having speed v is v during a time interval At while
moving in a uniform circular motion. The magnitude
of average force on the particle is proportional to
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Since, in the given question we know that the value of change in velocity of a particle with speed v, with respect to time t is given as dv/dt which can be considered as the acceleration of the particle.
As the given particle is moving in a circular motion then the average force of the particle will be inwards and be equal to mv^2/r and hence the average force will be directly proportional to the velocity of the particle.
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