Compute all parts of given question:
Question: A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 23.0m/s, and the distance between them is 60.0m. After t1 = 4.00s, the motorcycle starts to accelerate at a rate of 5.00m/s2. The motorcycle catches up with the car at some time t2.
Part A: How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? Express the time numerically in seconds using three significant figures.
Part B: How far does the motorcycle travel from the moment it starts to accelerate (at time t1) until it catches up with the car (at time t2)? Answer numerically in meters using three significant figures.
Show your reasoning and calculations for above question.