Car A passes a point O O\,O with speed 4 m s−1^{-1}−1 and then accelerates uniformly at 2 m s−2^{-2}−2. Three seconds later, car B passes O O\,O travelling in the same direction at a constant speed of 20 m s−1^{-1}−1.
Show that, t t\,t seconds after car A passes OOO, the cars are at the same position when t2−16t+60=0t^2-16t+60=0t2−16t+60=0.
Find the first time at which the cars are at the same position.
Find their distance from O O\,O at this time.