In a 300-m race, runner A starts from rests and accelerates at 1.6m/s2 for the first 30 m and then runs at a constant speed. Runner B starts from rests and accelerates at 2.0m/s2 for the first 30m and then runs at a constant speed. Runner A begins running as soon as the race begins but B firsts takes a nap to rest up. What is the longest nap that B can take and still not to lose the race?
Explanations & Calculations.
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