when a particle moving with a uniform acceleration then
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Answer:
Let v be the velocity of the particle at C. Assume the acceleration of the particle to be a and distance between A and B to be x. To find the velocity at point C, consider the motion from A to C:
Applying v
2
−u
2
= 2as, we get v
2
−v
1
2
= 2a
2
x
⇒ v
2
−v
1
2
= ax (i)
Apply the same equation from C to B, we get
v
2
2
−v
2
=2a
2
x
⇒v
2
2
−v
2
= ax (ii)
From (i) and (ii), we get v=
2
v
1
2
+v
2
2
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