A trolley is moving horizontally with a velocity of v m/s w.r.t. earth. A man starts running in the direction of motion of trolley from one end of the trolley with a velocity 1.5v m/s w.r.t. the trolley. after reaching the opposite end, the man turns back and continues running with a velocity of 1.5v m/s w.r.t. trolley in the backward direction. If the length of the trolley is L, then find the maximum displacement of the man with respect to earth, measured as a function of time.
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Explanation:
see the attachment for the answer
E= earth
M= man
T= trolley
D= displacement
DME= displacement of man wrt earth
DTE= displacement of trolley wrt earth
DMT= displacement of man wrt trolley
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