Solve the all parts of following problem:

Problem: A 1000- kg car collides with a 1300- kg car that was initially at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 20.0 km/h in a direction of 25 o with respect to the positive x axis. The heavier car moves at 23 km/h at -44 o with respect to the positive x axis.

Part A: What was the initial speed of the lighter car (in km/h)?

Part B: What was the initial direction (as measured counterclockwise from the x-axis)?

Please show all work and steps and explain your methods for above problem.