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On a long horizontally moving belt, a ch...

On a long horizontally moving belt, a child runs to and fro with a speed `9 km h^(-1)` (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of `4 km h^(-1)`. For an observer on a stationary platform, the speed of the child running in the direction of motion of the belt is

Text Solution

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Let us consider, left to right be the positive direction of x-axis.
Since parent and child are located on the same belt, the speed of child as observed by stationary observer in either direction will be `(5)/(2)" ms"^(-1)`
Time taken by child in case (i) and (ii) is `t=(50)/(5//2) =20 s`
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