The cheetah's top speed is 110 km/h (30.6 m/s). The gazelle's top speed is 75 km/h (20.8 m/s). The two are among the fastest land animals on Earth. However, the cheetah's hunting strategy has to be based on acceleration not on speed alone, because the cheetah must catch the gazelle within 15 s or risk brain damage from overheating.

The cheetah can reach its top speed in 3 s. The gazelle's acceleration is 5 m/s². How close to the gazelle must the cheetah sneak in order to begin its chase?

Could you draw three different graphs, acceleration vs time, velocity vs time and position vs time of both animals on each graph.