No. The companion is wrong.
You are shivering because, since it's cold outside, your body is becoming incapable of maintaining the the same temperature outside ad well as inside.
So, in order to compensate, your body uses mechanism of shivering in order to produce more heat by constricting the blood flow in vessels.
Therefore, you shiver from cold.
Use the law of conservation of momentum. Since the momentum is a linear measure, we can treat each of the dimension separately:
i-direction:

j-direction:

Answer: Final velocity is: (10i + 15j) m/s
Change in the kinetic energy:

Answer: The system lost 500J worth of kinetic energy in the collision
The appropriate term is latent heat. This energy is released as the water changes state from a gas to liquid....a liquid to solid etc. the latent heat is either absorbed or given off by the water as it changes its physical state. Latent heat of fusion is associated with freezing a liquid or melting a solid.
<span>braking and returning suddenly to the roadway</span>