Physics

To solve this problem, we need to use the conservation of momentum because the collision is assumed to be perfectly inelastic (or an elastic collision if not stated otherwise).

 

Given:

Mass of the truck:

Initial velocity of the truck:

Mass of the car:

Final velocity of the car after the collision:

Final velocity of the truck: (which we need to find)

 

Write the equation for conservation of momentum.

Since no external forces are mentioned, the total momentum before the collision equals the total momentum after the collision.

 

 

Substitute the known values: