Two cars with different motors are competing. One of the cars accelerate från 0-90 km/h on 12 seconds, the other one accelerate from 0-90 km/h on 20 seconds.
The acceleration is the same all the time.
After 90km/h, the velocity is constant. How many seconds in head start must the slower car if they were to end up side by side when they both hit 90 km/h?
90 kph is 25 m/s
average velocity during acceleration
... (0 + 25)/2
so the slower car takes 250 m to accelerate
... the faster car takes 150 m
it takes the faster car 16 s to go 250 m