The morning after a winter ice storm in Dallas, a 1400kg automobile going west o

Question

The morning after a winter ice storm in Dallas, a 1400kg automobile going west on Chestnut Street at 35.0 km/h collides with a 2800kg truck going south across Chestnut Street at 50.0 km/h .

a.) If they become coupled on collision, what is the magnitude of their velocity after colliding? You can ignore forces between the vehicles and the icy road.
I have this answer 35.3 km/h

b.) What is the direction of their velocity after colliding?
theta = ______ degrees west of south?
I need the actual angle measurement.

I really need help on this one. I would greatly appreciate it. Thanks!

Explanation / Answer

Vx= West component Vy= South component West= 1,400*35/4,200 = 11.667 kph South = 50*2,800/4,200 = 33.333 kph Theta= tan-1(vx/vy) since the components form a right angle with resultant = tan^-1(11.66/33.33)= 19.3 degrees W of S

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