Posted: March 6th, 2017

Who wins the race? -How far is Bob past the finish line when his car stops? -How far is Sam past the finish line when his car stops?

Bob the Iguana and Sam the Snake are racing their cars along a straight road. Bob is traveling at 130 feet/sec when he sees Sam 1000 feet ahead of him traveling at 100 feet/sec, both of them heading toward the finish line 2850 feet ahead of Bob. At that moment, Bob begins accelerates at 8 feet/sec^2. Six seconds later Sam checks his mirrors and sees Bob. He then accelerates at 12 feet/sec^2, and they both continue racing this way until they cross the finish line. As soon as each of them crosses the finish line, they immediately begin decelerating at 10 feet/sec^2.
-Who wins the race?
-How far is Bob past the finish line when his car stops?
-How far is Sam past the finish line when his car stops?