Bob the Iguana and Sam the Snake are racing their cars along a straight road. Bo
ID: 3345783 • Letter: B
Question
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 nish line 2850 feet ahead of Bob. At that moment, Bob begins
accelerating at 8 feet/sec2. Six seconds later Sam checks his mirrors and sees Bob. He then
accelerates at 12 feet/sec2, and they both continue racing this way until they cross the nish
line. As soon as each of them crosses the nish line, they immediately begin decelerating at
10 feet/sec2.
(a) Who wins the race?
(b) How far is Bob past the nish line when his car stops?
(c) How far is Sam past the nish line when his car stops?
Explanation / Answer
a) sam wins (time taken is 14.33 s) bob's time taken is 14.42 s ,
b) s by bob = 245.3^2/20= 3008 ft ,
c) s by sam=166.6^2/20= 1388 ft