Which side would you want to be in?
The two ends of a train moving with uniform acceleration passes a certain point with velocities
and
respectively. What is the velocity with which the middle point of the train passes the same point? (Round your answers to nearest hundredth)
The answer is 13.58.
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1 solution
Let S = length of the train Since this one dimensional motion we can use kinematic equations. The end point of the train with velocity of 12 kmph attains a of 15 kmph after having a displacement of the length of the s V 2 = U 2 + 2 a s 1 5 2 = 1 2 2 + 2 a s 2 ( 2 2 5 − 1 4 4 ) = a s a s = 4 0 . 5 so at the middle point, the length of the train is s / 2 V 2 = 1 4 4 + 2 a ( s / 2 ) V 2 = 1 4 4 + 4 0 . 5 V = 1 8 4 . 5 = 1 3 . 5 8 Thus this the solution sorry if this was a bit lengthy just wanted to explain it better.