A bus is moving along a straight road with a uniform acceleration. It passes through two points A and B separated by a distance with velocity 30 km/h and 40 kmh respectively. The velocity of the bus midway between A and B is:

Options

A. 33.3 km/h
B. 35.35 km/h
C. `20 sqrt(3) km//h`
D. None of these

Answer

b

Explanation

Let x be the distance between A and B.
`:. V_(B)^(2) -v_(A)^(2) =2ax` also at mis point C,`v^(2)-v_(A)^(2)-2a(x)/(2)`
or `v^(2) -v_(A)^(2)=(V_(B)^(2)-v_(A)^(2))/(2)`
`v=sqrt((30^(2)+40^(2))/(2))=35.35 km//h`