The two ends of a train moving with constant acceleration
pass a certain point with velocities u and v. The velocity with
which the middle point of the train passes the same point is
(a) (u + v)/2 (b) (u² + v²)/2
(c) √(u² + vu² ) / 2 (d) √u² + v²
Answers
Answer:
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11th
Physics
Motion in a Straight Line
Problems on Equation of Motion
The two ends of a train mov...
PHYSICS
The two ends of a train moving with constant acceleration pass a certain point with velocities u and v. The velocity with which the middle point of the train passes the same point is
ANSWER
Let s be the length of train using v
2
=u
2
+2a×s or2as=v
2
−u
2
......(1)
Where v is final velocity after travelling a distance s with an acceleration a and u is initial velocity as per question
Let velocity of middle point of train at same point is v
′
, then
(v
′
)
2
=u
2
+2a×(s/2) =u
2
+as .....(2)
By equations (1) and (2), we get v
′
=
2
v
2
+u
2
Answer:
option (a) (v+u)/2
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