Mary and Sally have decided to spend their vacation time on a boat in a river. Unfortunately, Sally liked a recent Instagram post from another of her friends that Mary didn't like, turning the two into bitter enemies. Now each has their boat on their own river. Mary has her boat in a river with a current that is 8.000 km/hr to the south. Mary's boat has a speed of 12.00 km/hr in still water. Sally has her boat in a river with a current of unknown size or direction. Sally's boat has a speed of 14.00 km/hr in still water.
(a) (6 pts.) Sally points her boat 35 degrees W of S. After piloting her boat for 45.00 minutes, Sally finds herself 15.00 km W and 24.00 km N of her original location. What was the magnitude and direction of Sally's velocity with respect to Earth?
(b) (8 pts.) Use the information about Sally's boat trip to determine the magnitude and direction of the current of the river she is in.
(c) (3 pts.) Draw a picture showing how the vectors add together graphically for Sally's boat trip. Clearly label each vector with its magnitude and direction.
(d) (3 pts.) We can't forget about Mary! In what direction must Mary point her boat so that she can travel west to the other side of the river? If she cannot do so, explain why.
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