1. A person is jogging with a velocity of 2.80 m/s [W] for 50.0 minutes, and then runs at 3.20 m/s [N 30.0 W] for 30.0 minutes. Calculate the total displacement for the runner in km. Use a vector addition table.

2. The best leaper in the animal kingdom is the puma, which can jump to a height of 3.70 m when leaving the ground at an angle of 45.0 degrees. With what speed must the animal leave the ground to reach that height?

3. A kayaker sets out for a paddle and heads toward the west, but is blown off course by a sudden strong wind. After arriving at a lighthouse that is 12.0 km southwest of her starting point, she lands and waits for the wind to die down. She then paddles west and lands on a small island that is 8.00 km west of the lighthouse. The kayaker plans to paddle straight back to her starting point. Draw a vector diagram and determine her displacement from her starting point to the island. In which direction should she now head and how far will she have to paddle to go directly to the point from which she originally started paddling?

4a) A canoeist is planning to paddle to a campsite located directly across a river that is 624 m wide. The velocity of the river is 2.00 m/s[S]. In still water, the canoeist can paddle at a speed of 3.00 m/s. If the canoeist points her canoe straight across the river, toward the east: (a) How long will it take her to reach the other river bank? (b) Where will she land relative to the campsite? (c) What is the velocity of the canoe relative to the point on the river bank, where she left?

4b) The canoeist in the previous question wants to head her canoe in such a direction that she will actually travel straight across the river to the campsite. (a) In what direction must she point the canoe? (b) Find her velocity relative to the shore. (c) How long will it take the canoeist to paddle to the campsite?

5. You are the pilot of a small plane and want to reach an airport, 500 km due south, in 4.00 h. A wind is blowing at 50.0 km/h[S35.0E]. With what heading and airspeed should you fly to reach the airport on time?

6. Three children are throwing a disc in the park. The first child throws the disc 32.0 m [W 14.0 S] to the second child, who then throws the disc 15.0 m [E 62.0 S]. What is the net displacement of the disc? Use a vector addition table.

7. A fish is at the western bank of a river that is 64.0 m wide and has a current with a velocity of 0.900 m/s [S]. The fish swims directly across the river going due east. The fish can swim at a speed of 0.200 m/s. (a) How long does it take the fish to get across the river? (b) What is the resulting velocity of the fish? (c) When the fish arrives on the opposite bank, how far is it from being at the point directly across from where it started?

8. In a children's soccer game, one of the children kicks the ball from the ground, giving it an initial velocity of 22.0 m/s at an angle of 62.0 to the horizontal. Determine the initial vertical and horizontal velocity components.

9. A family takes a trip to a beach on Lake Ontario to ride jet skis. The daughter travels a displacement of 240 m [W 11.0 N] while passing a small island and then turns and travels 330 m [N 20.0 E]. This takes her 22.0 s. Use a vector addition table to determine her displacement and average velocity.