A particle moving with constant acceleration form A to B in straight line AB has velocities 'u' and 'v' at A and B respectively .Find the velocity at C ,the mid point of AB.
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A particle moving with constant acceleration form A to B in straight line AB has velocities 'u' and 'v' at A and B respectively .Find the velocity at C ,the mid point of AB.
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Answer:
Correct option is
A
2
v
2
+u
2
Let the distance between A and B=s and as mentioned C is the midpoint of A and B thus distance between A C and
C B=
2
s
From equation of motion we get distance between AB
v
2
=u
2
+2as
s=
2a
v
2
−u
2
----------(1)
Let speed of the vehicle be pm/s at point C
Again from equation of motion we get,
p
2
=u
2
+2a
2
s
as distance between A and C is
2
s
s=
a
p
2
−u
2
-------(2)
Computing 1 and 2 we get
a
p
2
−u
2
=
2a
v
2
−u
2
p
2
=
2
v
2
+u
2
p=
2
v
2
+u
2
Explanation:
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Answer:
hence the required answer is given