Particle beginning from rest, travels a distance `S` with uniform acceleration and immediately after travels a distane of `3 S` with uniform velocity followed by a distance `5 S` with uniform deceleration, and comes to rest. Then the ratio of average speed to the maximum speed of the particle is.A. `1//5`B. `2//5`C. `(3)/(5)`D. `(4)/(5)`

Particle beginning from rest, travels a distance `S` with uniform acce

1.	Particle beginning from rest, travels a distance `S` with uniform acceleration and immediately after travels a distane of `3 S` with uniform velocity followed by a distance `5 S` with uniform deceleration, and comes to rest. Then the ratio of average speed to the maximum speed of the particle is.A. `1//5`B. `2//5`C. `(3)/(5)`D. `(4)/(5)`
Answer» Correct Answer - C `v_0 rarr maxiumum speed` `s = (v_0 + 0)/(2) t_1 rArr t_(1) = (25)/(v_0)` `t_2 = (35)/(v_0)` `5 s = (v_0 + 0)/(2) t_2 rArr t_3 = (10 s)/(v_0)` `v_(av) = (s + 3s + 5s)/(t_1 + t_2 + t_3)` `v_(av) = (9 s)/((2s)/v_0+ (3 s)/(v_0) +(10 s)/(v_0)) rArr (v_(av))/(v_0) = (3)/(5)`.

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