Two particles are projected simultaneously as shown in fig. Particle A is projected at an angle 45º with a speed of 10m/s, from the top of a l0m tower. Another particle B, is projected horizontally with a speed 10m/s from a 30 m long tower. What should be the horizontal distance 'd' between them, so as they collide in the mid air :-
(1)20 m(2)30 m(3)40 m(4)50 m

Let they meet after time time t.vertical distance travelled by horizontal projectile is y.y = ut+12at2y = 0 + 0.5×10t2vertical distance travelled by angular projectile is 20-y20-y = uxt - 12gt220-12gt2 = 102×12- 12gt2t = 2 sHorizontal distance travelled in 2seconds.x1 = ut  = 10×2 = 20 mx2 =uxt = 102×12×2 = 20 md = x1+x2 = 20+20 = 40 m

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