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The head and tail of train moving with a constant acceleration cross an electric pole on the track side with velocities u and v respectively. Find the velocity with which the middle point the train crosses the pole.

The head and tail of train moving with a constant acceleration cross an electric pole on the track  side with velocities u and v respectively. Find the velocity with which the middle point the train crosses the pole.

Grade:11

1 Answers

Ravneet
104 Points
5 years ago
NOTE   at the different instant train’s all parts( head or tail )move with constant acceleration ‘a’ or in other words with same speed 
when the head of train crosses pole, the speed of  train be u 
let, train’s length is d 
so after travelling d distance, the tail of train crosses pole and speed of train be v 
Applying kinematics equation, v2 = u2 + 2ad,
calculate ‘a’ from here 
Now when middle portion crosses pole, the speed of train be z and distance travelled by train will be d/2
applying kinematics equation , z2 = u2 + 2a(d/2) put a here 
calculate z
that will be the answer 
ANS     { (  v2   +  u2  ) / 2 }1/2
              

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