A particle is projected from the ground with a speed 
at an angle of 
from horizontal. It collides with a second particle of equal mass moving with a horizontal speed 
in the same direction at the highest point of its trajectory. If the collision is perfectly inelastic then find the horizontal distance travelled by them after this collision when they reached the ground.
Text Solution
Verified by ExpertsB
The only external force acting on the colliding system during the collision is the gravitational force. Since gravitational force is non-impulsive, the linear momentum of the system is conserved just before and just after the collision.
So the horizontal range after the collision 
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