Two Vehicles Approach a Right Angle Intersection and Then Suddenly $76 ^ { \circ }$

Multiple Choice

Two vehicles approach a right angle intersection and then suddenly collide. After the collision, they become entangled. If their mass ratios were 1:4 and their respective speeds as they
Approached the intersection were both 13 m/s, find the magnitude and direction of the final
Velocity of the wreck.

A) 16 m/s at $76 ^ { \circ }$ with respect to the original direction of the lighter car
B) 26 m/s at $76 ^ { \circ }$ with respect to the original direction of the lighter car
C) 16 m/s at $14 ^ { \circ }$ with respect to the original direction of the lighter car
D) 11 m/s at $14 ^ { \circ }$ with respect to the original direction of the lighter car
E) 11 m/s at $76 ^ { \circ }$ with respect to the original direction of the lighter car