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Two particles are thrown simultaneously ...

Two particles are thrown simultaneously from points A and B with velocities `u_1 = 2ms^(-1) and u_2 - 14 ms^(-1)`, respectively, as shown in figure.

The relative velocity of B as seen from A in

A

`-8sqrt(2)hati + 6(sqrt2)hatj`

B

`4sqrt(2)hati + 3(sqrt3)hatj`

C

`3sqrt(5)hati + 2(sqrt3)hatj`

D

`3sqrt(2)hati + 4(sqrt3)hatj`

Text Solution

Verified by Experts

The correct Answer is:
A
a. `V_(B,A) = V_B-V_A`
`= -14 cos 45^@hati + 14sin45^@hatj - (2cos45^@hati)-2sin45^@hatj`
`= -16/(sqrt2)hati + 12/(sqrt2)hatj = -8sqrt(2)hati + 6sqrt(2)hatj`.
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