Question

Two particles P and Q are projected simultaneously, They collide in air at point O. after time U 2; y(m) 12 5 O 2; U 1 P 5 20 ►x x(m) Find the value of (u 1 sin q 1 -u 2 sin q 2 ) t

Answer 1

Answer:

Acceleration of both the particles w.r.t ground is

.Now w.r.t ground velocity of particle P.

acceleration of particle P

simiarly

> Now relative velocity and acceleration of P w.r.t Q As one projectile moves on a straight line w.r.t another projectile, here

is the velocity of Q as seen by P. <br> Now, if they colider after time t then

from equation (i) and (ii)

This is the condition for two particles to collide.