Acceleration: 0 – 90 km/h in 18 s
Max speed: 90 km/h
Stamina: Can go at top speed for a long time
Acceleration: 0 – 120 km/h in 3 s
Max speed: 120 km/h
Stamina: Can go at top speed for 30 s
Assume the cheetah and gazelle run along a straight line. At time t = 0 s the prey spots the predator and both accelerate to their top speeds starting from rest.
a) How far can the cheetah run before it gets exhausted?
b) How far can the gazelle run before the cheetah is exhausted?
c) Based on your answers to (a) and (b) what is the minimum distance away from the cheetah that the gazelle needs to be in order to not get caught?