1.

Two particles start simultaneously from the same point and move along two straight lines. One with uniform velocity v and other with a uniform acceleration a. if `alpha ` is the angle between the lines of motion of two particles then the least value of relative velocity will be at time given byA. `(v)/(a) sin alpha`B. `(v)/(a) cos alpha`C. `(v)/(a) tan alpha`D. `(v)/(a) cot alpha`

Answer» Correct Answer - B
At any time velocity of first car is v and that of second car is
`v = v + at = 0 + at`
`v_("rel") = sqrt(v^(2) + (at)^(2) - 2v at cos alpha)`
`v_("rel")` is minimum if `(d)/(dt) (v_(r)^(2)) = 0, t = (v cos alpha)/(a)`


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