Ima Rilla Saari rushes to her car in order to hurry home and get dressed for work. Failing to realize the dangers of driving under slick and icy conditions, she collides her 915.0-kg Mazda Miata into the rear of a 3269.0-kg pick-up truck which was at rest at the light on Lake Avenue. Ima's pre-collision speed was 14.0 m/s. Determine the post-collision speed of the two entangled cars as they slide across the ice.

A Roller Derby exhibition recently came to town. They packed the gym for two consecutive weekend nights at South's field house. On Saturday evening, the 56.8-kg Anna Mosity was moving at 14.0 m/s when she collided with 69.4-kg Sandra Day O'Klobber who was moving forward at 10.7 m/s and directly in Anna's path. Anna jumped onto Sandra's back and the two continued moving together at the same speed. Determine their speed immediately after the collision.

Anna Litical and Noah Formula are doing The Cart and the Brick Lab. They drop an originally-at-rest brick on a 1.89-kg cart moving at 54.6 cm/s. After the collision, the dropped brick and cart are moving together with a velocity of 23.7 cm/s. Determine the mass of the dropped brick.

The engineers are doing some car management at the train yard. A railroad car moving with a speed of 2.22 m/s collides and couples to a two-car combination that is moving in the same direction at 1.30 m/s. All cars have the same mass of 16300.0 kg. Determine the speed of the three coupled cars after the collision.

A 68.2-kg boy and a 48.4-kg girl, both wearing skates face each other at rest on a skating rink. The boy pushes the girl, sending her eastward with a speed of 6.62 m/s. Neglecting friction, determine the subsequent speed of the boy.