Q. 94.0( 4 Votes )

# A body moving with uniform acceleration has velocities 20 ms^{-1} and 30 ms^{-1} when passing two points A and B. Then the velocity midway between A and B is:

A. 25 ms^{-1}

B. 24 ms^{-1}

C. 25.5 ms^{-1}

D. 106 ms^{-1}

Answer :

Velocity at A = u = 20 ms^{-1}

Velocity at B = v = 30 ms^{-1}

Acceleration = a

Let AB = x

Now, from the equations of motion, we know that,

a =

Now, at mid – point M, Velocity = v_{m}

Also, AM =

So,

ms^{-1}

Hence, option C is correct.

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