A 200-m-wide river flows due east at a uniform speed of 2.0 m/s. A boat with a speed of 8.0 m/s relative to the water leaves the south bank pointed in a direction west of north. What are the (a) magnitude and (b) direction of the boat’s velocity relative to the ground? (c) How long does the boat take to cross the river?

Question

A 200-m-wide river flows due east at a uniform speed of 2.0 m/s.  A boat with a speed of 8.0 m/s relative to the water leaves the south bank pointed in a direction  west of north.  What are the (a) magnitude and (b) direction of the boat’s velocity relative to the ground?  (c) How long does the boat take to cross the river?

bobpursley · Answer

You know the East component of Velocity, and the N velocity of the Boat. Find the resultant speed of the boat over ground to the other side. I will be happy to critique your thinking or work on this.

tiff · Answer

7.2, 16, and 29