A small steel ball bounces on a steel pl...

A small steel ball bounces on a steel plate held horizontally. On each bounce the speed of the ball arriving at the plate is reduced by a factor e (coefficient of restitution) in the rebound, so that `v_("upward")=eV_("downward.")` If the ball is initially dropped from a height of 0.4 m above the plate and if 10 seconds later the bouncing ceases, the value of e is

`sqrt(frac(2)(7))`

`frac(3)(4)`

`frac(13)(18)`

`frac(17)(18)`

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