the magnitude of change in velocity of a particle having speed v is v during a time interval delta t while moving in a uniform circular motion. the magnitude of average force on the particle is proportional to
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As in the given question the value of change in velocity of a particle having v speed 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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