A point moves rectilinearly with deceleration whose modulus depends on the velocity 'v' of the particle as a =-k√v where k is a constant, k > 0. At the initial moment the velocity of the particle is 'v0'. What distance it will traverse before it stops? What time it will take to cover that distance?

Dear student,

a=-k√v

dv/dt=-k√v

dv/√v=-kdt

Now integrate both sides to get velocity as a function of time.

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Sagar Singh
B.Tech, IIT Delhi