A cheetah is resting when a hare traveling in a straight path passes at its top speed of 25 m/s. It takes the cheetah 1.5 seconds to get up and begin running. The cheetah accelerates to its top speed of 45 m/s in 20 seconds. It can maintain this speed for 2 seconds before decelerating at 4 m/s2.

Will the cheetah catch the hare and at what point?