1.

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 inA. `-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`

Answer» Correct Answer - 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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