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 19.0m/s , and the distance between them is 52.0m . After t1 = 5.00s , the motorcycle starts to accelerate at a rate of 5.00m/s2. How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? In other words, find t2−t1

Please explain

2 answers

your basic equation of motion is
s = s0 + vt + 1/2 at^2

t2 = t1+5
19.0t1 + 5.00/2 t1^2 = 52 + 19.0t2
Thanks man