An 1800 kg VW Golf traveling East at 50.0 km/h collides head-on with an 1100 kg Mini traveling West at 30.0 km/h. The Mini travels East at 25.0 km/h after the collision.
Assume the collision is perfectly elastic in nature and all the kinetic energy in the system is conserved.
Initially, the 1800 Golf, was traveling East at 50 km/h and the 1100 kg Mini traveling West at 30 km/h. After collision, the Mini travels East at 25 km/h.
From the law of conservation of momentum, 1800*50 - 1100*30 = 1800*X + 1100*25
=> X = 16.38 km/h
The final velocity of the Golf is 16.38 km/h towards the East.