Answer:
When a stone is dropped from a
railway carriage, it will fall vertically downwards with acceleration due to
gravity g. Therefore, with respect to earth, the acceleration of the stone will
be g only. Inside the carriage the stone has two accelerations : (i) horizontal
acceleration a, due to the motion of the carriage and (ii) vertical ace. due to
gravity g. Thus the acceleration of the stone with respect to carriage is \[\sqrt{{{a}^{2}}+{{g}^{2}}}\]
.
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