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  4. Particles P and Q of mass 20 g and 40 g respectively are simultaneously projected from points A and B on the ground. The initial velocities of P and Q make 45° and 135° angles respectively with the horizontal AB as shown in the figure. Each particle has an initial speed of 49 m/s. The separation AB is 245 m Both particles travel in the same vertical plane and undergo a collision. After the collision, P retraces its path. (a) Determine the position Q where it hits the ground. (b) How much time after the collision does the particle Q take to reach the ground? (Take g = 9.8m/s2).

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Q. Particles P and Q of mass 20 g and 40 g respectively are
simultaneously projected from points A and B on the ground.
The initial velocities of P and Q make 45$^{\circ}$ and 135$^{\circ}$ angles
respectively with the horizontal AB as shown in the figure.
Each particle has an initial speed of 49 m/s. The separation
AB is 245 m
Both particles travel in the same vertical plane and undergo a
collision. After the collision, P retraces its path.
(a) Determine the position Q where it hits the ground.
(b) How much time after the collision does the particle Q take
to reach the ground? (Take g = 9.8m/s$^2$).Physics Question Image

IIT JEEIIT JEE 1982

Solution:

Correct answer is '3.53'