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    				| 1. | Two particles A and B are projected from ground towards each other with speeds `10 m//s` and `5(sqrt2) m//s` at the angle `30^@ and 45^@` with horizontal from two points separated by a distance of 15 m. will they collide or not ? | 
| Answer» For collision to take place, relative velocity of A with respect of B should be along Ab or their vertical components should be same. Vertical components of A `v_1 = 10 sin 30^@ = 5 m//s` and vertical component of B `v_2 = 5(sqrt2) cos 45^@ = 5 m//s` Since, `v_1 = v_2`, so they may collide Now the second condition is , `R_1+R_2 ge d (d=15 cm)` `:. R_1 = ((10)^2sin60^@)/10 = 8.66 m` `R_2 = ((5sqrt(2))^2sin90^@)/10 = 5m` Since, `R_1+R_2 ltd`, so they will not collide. | |