Two point objects are moving towards each other. Object 'A' is inside the waver `(mu_(w) = 4//3)` and object B is in the air. Water level is moving downward with a velocity `2 m//s` as shown in figure. Find the speed of A with respect to B.

Options

A. `5 m//s`
B. `7 m//s`
C. `8 m//s`
D. `6 m//s`

Answer

D

Explanation

App. Position of A with respect of B.
`P = 1((h_(2))/(1) + (h_(1))/(mu))`
`P = h_(2) + (3)/(4)h_(1)`
`V = (dP)/(dt) = (dh_(2))/(dt) + (3)/(4) (dh_(1))/(dt) = -3 + (3)/(4) (-4) = -(6) m//s`