Question

.a race car moving at a constant speed of 35m/s a security car was moving at 5m/s as a race car passes by it and accelerating at at a constant rate of 5m/s^2. what was the speed of the security car when it took over race car.

Answer 1

How long did it take to catch up? When the distances were the same:
35t = 5t + 5/2 t^2
so it took t=12 seconds. At that time, the car's speed was
v = 5+5*12 = 65 m/s