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A particle with mass m is released from rest at a point that is very high above the ground. The resistive force acting on

A particle with mass m is released from rest at a point that is very high above the ground. The resistive 

A particle with mass m is released from rest at a point that is very high above the ground. The resistive force acting on the particle is given by f= -kmv2, where k is a positive constant and v is the instantaneous speed of the particle. What is the vertical distance traveled by the particle until its speed reaches a value that is one- fourth of its terminal speed, i.e. (Terminal)/4?

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