Final answer:
The center-of-mass velocity will change as a result of the collision, we need to calculate the center-of-mass velocity before and after the collision.
Step-by-step explanation:
To determine whether the center-of-mass velocity will change as a result of the collision, we need to calculate the center-of-mass velocity before and after the collision.
Before the collision, we can calculate the individual velocities of the two cars using their masses and velocities. The velocity of car A is 38 m/s to the east, and the velocity of car B is 53 m/s at an angle of 63° north of east. Then, we can calculate the center-of-mass velocity using the formula:
Vcm = (m1v1 + m2v2) / (m1 + m2)
After the collision, since the cars stick together, the center-of-mass velocity will be the same as the velocity of the combined wreckage. Use the same formula with the masses and velocities after the collision to calculate the center-of-mass velocity.