Question

At the intersection of Texas Avenue and University Drive, a blue, subcompact car with mass 820 kg traveling east on University collides with a maroon pickup truck with mass 2000 kg that is traveling north on Texas and ran a red light. The two vehicles stick together as a result of the collision, and, after the collision, the wreckage is sliding at 16.0 m/s in the direction 24.0° east of north. Calculate the speed of each vehicle before the collision. The collision occurs during a heavy rainstorm. You can ignore friction forces between the vehicles and the wet road.

Answer 1

East momentum before = 820 c
North momentum before = 2000 t

those will be the same after
mass after = 2820

East after = 2820 * 16 sin 24
North after= 2820 * 16 cos 24

so 820 c = 2820 * sin 24
and 2000 t = 2820 * cos 24