A cheetah has spotted a gazelle. The cheetah runs at its top
speed of 30 m/s for 15 seconds. During the same time, a gazelle,
160 m from the running cheetah, notices the danger and heads
directly away. The gazelle accelerates at 4.5 m/s2 for 6.0 s, then
continues running at a constant speed. Does the cheetah catch the
gazelle, or does the gazelle escape?
(a) How far does the cheetah travel during this 15 s
duration?
(b) How fast does the gazelle reach after 6.0 seconds?
(c) How far does the gazelle travel during the first 6.0
seconds, the last 9.0 seconds, and the entire duration?
(d) Who is ahead at the end of 15 seconds? Does the cheetah
catch the gazelle, or does the gazelle escape?