A Honda Civic and an 18 wheeler approach a right angle intersection and then collide. After the collision, they become interlocked. If their mass ratios were 1: 4 and their respective speeds as they approached were both 13 m/s, find the magnitude and direction of the final velocity of the wreck. (Please do not worry no one was harmed in making of this question) A. 16.3 m/s at 79° B. 10.7 m/s at 79° C. 12.5 m/s at 59° D. 15.7 m/s at 59°

The concept of conservation of momentum is applied in the particular case of collisions.  

The general equation ig given by,

Where,

The crash occurs at an intersection so we must separate the two speeds by their respective vector: x, y.

In the case of the X axis, we have that the body has a speed = 0, this because it is not the direction in which it travels, therefore

The same analysis must be given for the particular case in the Y direction, where the mass body does not act with its velocity here, therefore:

We have the two components of a velocity vector given by

Get the magnitude,

With a direction given by

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle