Two automobiles of equal mass approach an intersection. Onevehicle is traveling

Question

Two automobiles of equal mass approach an intersection. Onevehicle is traveling with velocity 13.0m/s toward the east and theother is traveling north with a speed of v2i. Neitherdriver sees the other. The vehicles collide in the intersection andstick together, leaving parallel skid marks at an angle of 55.0degrees north of east. The speed limit for both roads is 35 mi/hr,and the driver of the northward-moving vehicle claims he was withinthe speed limit when the collision occurred. Is he telling thetruth?
I am not sure what equation to use for this problem... Itseems rather easy but I'm also getting confused on the 55 degreeangle thing. Two automobiles of equal mass approach an intersection. Onevehicle is traveling with velocity 13.0m/s toward the east and theother is traveling north with a speed of v2i. Neitherdriver sees the other. The vehicles collide in the intersection andstick together, leaving parallel skid marks at an angle of 55.0degrees north of east. The speed limit for both roads is 35 mi/hr,and the driver of the northward-moving vehicle claims he was withinthe speed limit when the collision occurred. Is he telling thetruth?
I am not sure what equation to use for this problem... Itseems rather easy but I'm also getting confused on the 55 degreeangle thing.

Explanation / Answer

We use conservation of momentum for thesystem of two

vehicles for both northward and eastwardcomponents.

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