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A spherical steel ball released at the t...

A spherical steel ball released at the top of a long column of gylycerine of length `l`, falls through a distance `l//2` with accelerated motion and the remaining distance `l//2` with uniform velocity. Let `t_(1)` and `t_(2)` denote the time taken to cover the first and second half and `W_(1)` and `W_(2)` the work done against gravity in the two halves, then

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The average velocity in the first half of the distance `ltv`, while in the second half the average velocity is v. There fore, `t_(1s)gtt_(2)`. The workdone against gravity in both halves is `mg l//2`
`:.t_(1s)gt_(2)" "w_(1)=w_(2)`
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