A cheetah can run very quickly over short distances. Assume a cheetah has a constant velocity of 33.0 m/s and is approaching a gazelle that is initially at rest. When the cheetah is 90 m away, the gazelle begins to run with an acceleration of 6.0 m/s^2 . Assume all motion is in a straight line.
a) At what time after the gazelle starts running will the cheetah catch up to the gazelle?
b) How far will the gazelle have run during this time? How far will the cheetah have run?
c) What is the minimum distance of approach that the gazelle can permit the cheetah if it hopes to get away?