You want to cross a straight section of a river that has a uniform current of 5.33 m/s and is 127. m wide. Your motorboat has an engine that can generate a speed of 17.5 m/s for your boat. Assume that you reach top speed right away (that is, neglect the time it takes to accelerate the boat to top speed).
a) If you want to go directly across the river with a 90° angle relative to the riverbank, at what angle relative to the riverbank should you point your boat?
b) How long will it take to cross the river in this way?
c) In which direction should you aim your boat to achieve minimum crossing time?
d) What is the minimum time to cross the river?
e) What is the minimum speed of your boat that will still enable you to cross the river with a 90° angle relative to the riverbank?
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