relative to the
trolley in a direction opposite to the trolley's motion, and jumps out of the
trolley. What is the final speed of the trolley ? How much has the trolley
moved from the time the child begins to run ?
Answer:
The child gives an impulse to the trolley at the start and
then runs with a constant relative velocity of 
with respect to
the trolley's new velocity.
Total initial momentum,
Let new velocity
of the trolley 
Child's velocity relative to the
trolley in opposite direction = 4 ms~1
Child's actual
velocity (relative to ground)
Total final momentum,
By conservation
of linear momentum,
Time taken by the child to cover
length of the trolley
Distance covered by the trolley
in 2.5 s
.
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