1. Mathematical Approach to Two Dimensional Motion 1.A train travels 300.0 km [W] and then goes 600.0 km [S]. The trip takes 11.0 h. Calculate the velocity of the train. 300 km 600 km x x = 63.4°  the displacement of the train was 670.8 km [63° S of W]

3. 2.A skateboarder goes 440.0 m [N], then heads 675.0 m [E], and then heads 500.0 m [N]. Calculate the resultant displacement.

4. = 1157.25 x = 54°  The resultant displacement is 1157 km [54° N of E] x

5. 3.A car travels at 120.0 km/h [E] and then turns and is going 80.0 km/h [N]. The entire trip takes 5.0 hours. Calculate the resultant displacement of the trip. 120.0 km/h 80.0 km/h = 144.2 x  the resultant velocity of the car was 144.2 km/h [34° N of E]

7. Up the Creek Questions 1.A river has a current of 24.0 km/h [E] and a canoeist is paddling at 12.0 km/h [N]. If the river is 300.0 m wide, calculate the following: (a)the amount of time it takes to cross the river (b)the displacement downstream the canoeist finishes (c)the resultant velocity of the canoeist river current 24.0 km/h 12.0 km/h0.3 km

8. (a) (b) (c) = 26.8  the resultant velocity is 27 km/h [63° E of N]