After a collision, the y-component of momentum of a car is 4.50 meters/second, and the x-component of its momentum is 9.80 meters/second. what is the magnitude of its resultant momentum after the collision? 8.74 meters/second 9.81 meters/second 10.8 meters/second 11.5 meters/second 12.8 meters/second

10.78 kg×m/s

Justification:

1) Momentum is a vector.

2) The magnitude of a vector is determined from is components in this way:

Magnitude² = (x-component)² + (y-component)²

3) Then, given x-component = 9.80 kg×m/s , and the y-component 4.50 kg×m/s, by replacing into the equation above, you get:

Magnitude² = [9.80 kg×m/s]² + [4.50 kg×m/s]² = 116.29 [kg×m/s]²

Now take square root on both sides and you get:

Magnitude = 10.78 kg×m/s

Note that I amended the units of the momentun, since m/s is not the rigth unit.