You are driving on a very long, very straight 2 lane road, stuck behind a lorry which travels at
a constant 75 km/hour. You want to overtake the lorry, which has a length of 12.0 m. You
car is 3.8 m long. To overtake the lorry, and to do this safely, you need to move to the other
lane when the front of your car is no less than 10 m behind the lorry. You should return to
the left hand lane, when the rear of your car is 10 m ahead of the lorry. Your car has an
acceleration of 2.0 ms-2.
(a) What is the minimum distance you need to overtake the lorry ?
(b) How fast will you be going when you move back to the left hand lane?
(c) Suppose that the cars coming in the opposite direction are travelling no faster than
100 km/hour. Determine the minimum distance ahead that the road must be clear
of oncoming cars before you start to pass.
