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A point moving with constant acceleratio...

A point moving with constant acceleration from A to B in the straight line AB has velocities u and v at and B respectively. Find its velocity at C, the mid point of AB. Also show that if the time from A to C is twice that from C to B, then `v =7 u`.

A

`((u^2 +v^2)/(2u))^2`

B

`(u+v)/(2)`

C

`(v-u)/(2)`

D

`sqrt((u^2 + v^2)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D

Since `v^2 = u^2 + 2ax rArr ax = (v^2 - u^2)/(2)`
At C `v_c^2 + u^2 + 2a (x/2) rArr v_c^2 = u^2 + (v^2 - u^2)/(2)`
`rArr v_c = sqrt((v^2+u^2)/(2))`
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