Car A was traveling due north through an intersection when it was hit broadside by car B which was traveling due east. While both drivers admitted having ignored the four-way stop signs at the intersection, each claimed he was traveling at the 35-mi/h speed limit and that the other was traveling much faster. Knowing that car A weighs 2000 lb, car B 3600 lb, and that inspection of the scene of the accident showed that as a result of the impact, the two cars got stuck together and skidded in a direction 40 degrees north of east, determine (
a) which of the two cars was actually traveling at 35 mi/h, and (
b) how fast the other car was moving.
This is an "all-or-nothing" bonus question and will count as one quiz grade. Solutions should be submitted to Mr. G by Monday, March 5, 2007.