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You are driving on a very long, very straight 2 lane road, stuck behind a truck which travels at a constant 75 km/hr. You want to overtake the truck, which has a length of 12.0 m. Your car is 3.8 m long. To overtake the truck, 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 truck. You should return to your lane again, when the rear of your car is 10 m ahead of the truck. Your car has an acceleration of 2.0 ms-2 . (a) What is the minimum distance you need to overtake the truck? (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/hr. Determine the minimum distance ahead that the road must be clear of oncoming cars before you start to pass.
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