**Directions: Work together as a group but write your own solutions. Draw diagrams; show all your work; label units.**

1. A boat is crossing a river that flows from North to South at a rate of 3 m/s. The boat starts at the east end of the river and heads directly west with a speed of 4 m/s.

(a) What is the boats total velocity?

(b) If the river is 1000 m in the E-W direction, how long does it take the boat to cross?

2. A displacement vector in the x-y plane is 15 m long and directed at an angle of 30 degrees above the positive x-axis. Determine

(a) the x-component

(b) the y-component

3. A displacement vector in the x-y plane is 10 m long and directed at an angle of 190 degrees counterclockwise from the positive x axis. Determine

(a) the x-component

(b) the y-component

4. A person walks 25 degrees north of east for 3.10 km. How far would she have to walk due north and due east to arrive at the same location?

5. What is the magnitude of the momentum of a 28-g sparrow flying with a speed of 8.4 m/s?

6. How much impulse stops a 50-kg carton sliding at 4 m/s when it meets a rough surface?

7. Sketch momentum arrows for Problem 1 above at successive times using the multitap and reservoir models.