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?

Please don't try to solve the problem (no mathematical representation yet). On paper,detail an appropriate MODEL and VISUALIZATION (a pictorial representation as described in Tactics Box 1.5 plusa graphical representation). You can label known quantities on the graph, but there is no need to calculate anything, it is sufficient to get the shape of the graph correct.