1. A hiker walks 35.5 km at an angle of 30 South of East. Then she changes direction and walks 44.0 km in a direction 62 North of East. Determine the magnitude and direction of her resultant displacement.

2. Some animals often jump to the top of cliffs to reach their destination. One animal starts 2.00 m from base of a cliff that is 0.65 m tall and jumps at an angle of 31.0. What must be the animal's minimum speed to reach the top of the cliff?

3. A skier with a mass of 58.5 kg is sliding down a snowy slope at a constant velocity. The slope of the inclined plane is 30. Find the coefficient of kinetic friction for the skier.

4. A 50 kg diver jumps off a diving board above a pool that is 10 m high. What is the diver's speed when the diver is 5 m above the water?

5. A 2120 kg Ford Mustang GT vehicle rounds a circular turn of radius 30.0 m. If the road is flat and the coefficient of static friction between the tires and the road is 0.80, how fast can the vehicle go without skidding?

6. A 16.0 kg ball moving to the left at 12m/s makes an elastic head on collision with a 3.0 kg ball moving to the right at 4.0 m/s. After the collision, the lighter ball moves to the left at 22.7 m/s. What is the final velocity of the heavier ball?