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A van driver wants to pull out from rest onto a road where cars are moving at a constant speed of 20m/s. When there is a large enough gap between cars, the van driver pulls out immediately after one car passes. She then accelerates at a constant rate of 4m/s² until moving at 20m/s. To do this safely the car behind... show more A van driver wants to pull out from rest onto a road where cars are moving at a constant speed of 20m/s. When there is a large enough gap between cars, the van driver pulls out immediately after one car passes. She then accelerates at a constant rate of 4m/s² until moving at 20m/s. To do this safely the car behind her must always be at least 10m away. Find the minimum length of the gap between the cars for the van driver to pull out
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