1.

The two ends of a train moving with uniform acceleration pass a certain point with velocity u and v.Find the velocity with which the middle point of the train passes the same point.

Answer»

Solution :
Between A,B,`(V^(1))^(2)-u^(2)`=2a s/2
Between B,C ,`v^(2)-(v^(1))^(2)`=2as/2
`IMPLIES(v^(1))^(2)-u^(2)=v^(2)-v^(12)`
`2(v^(1))^(2)=v^(2)+v^(2)`
Velcity at mid POINT is `v^(1)=sqrt(u^(2)+v^(2))/(2)`


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