1. Boat Problems

2. A boat heads due east across a stream with a velocity of 20 m/s
A boat heads due east across a stream with a velocity of 20 m/s. The stream is flowing from north to south at a rate of 5.0 m/s.
What is the velocity of the boat with respect to an observer on the shore?
If the stream is 100 m wide, how much time does it take the boat to reach the other side?
How far downstream is the boat when it reaches the other side?

3. A woman can row a boat at 4.0 mph is still water.
If she is crossing a river where the current is 2.0 mph, in what direction must her boat be headed if she wants to reach a point directly opposite her starting point.
If the river is 4.0 mi wide, how long will it take to cross the river?
Suppose that instead of crossing the river, she rows 2.0 mi down the river and then back to her starting point. How long will she take?
In what direction should she head the boat if she wants to cross in the shortest possible time? What is that time?

4. Airplane problem 1
An airplane can fly at 180 m/s when there’s no wind. If an airplane heads 25o north of east, but there’s a wind of 50 m/s due east, then what is the plane’s resultant velocity?

5. Airplane problem 2
An airplane can fly at 180m/s when there’s no wind. If an airplane heads 25o north of east, but there’s a wind of 50m/s 5o east of north, then what is the plane’s resultant velocity?