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 $$1.5$$ v $$m/s$$ w.r.t. the trolley. After reaching the opposite end, the man turns back and continues running with a velocity of $$1.5$$ v $$m/s$$ w.r.t. trolley in the backward direction. If the length of the trolley is L, then the displacement of the man with respect to earth, measured as a function of time, will attain a maximum value of

Question

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 $$1.5$$ v $$m/s$$ w.r.t. the trolley. After reaching the opposite end, the man turns back and continues running with a velocity of $$1.5$$ v $$m/s$$ w.r.t. trolley in the backward direction. If the length of the trolley is L, then the displacement of the man with respect to earth, measured as a function of time, will attain a maximum value of

Infinity Learn · Accepted Answer

Since velocity of man w.r.t. trolly is greater than velocity of trolly w.r.t. earth, after the man turns back displacement of the man will decrease, so maximum displacement will be at the moment when man turns back.$$t=L1.5V$$,Displacement $$=(v$$ $$+$$ $$1.5$$ $$v)t=2.5vL1.5v=53L$$

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