1. A dog running in an open field has components of velocity vx = 1.8 m/s and vy = -1.4 m/s at time t1 = 10.0 s. For the time interval from t1 = 10.0 s to t2 = 25.0 s, the average acceleration of the dog has magnitude 0.55 m/s2 and direction 36.0 measured from the + x-axis toward the + y-axis.

a. At time t2 = 25.0 s , what is the x -component of the dog's velocity? Express your answer with the appropriate units. b. At time t2 = 25.0 s , what is the y -component of the dog's velocity? Express your answer with the appropriate units. c. What is the magnitude of the dog's velocity? Express your answer with the appropriate units. d. What is the direction of the dog's velocity (measured from the +x -axis toward the +y -axis)? Express your answer in degrees.

2. A man stands on the roof of a building of height 17.0 m and throws a rock with a velocity of magnitude 35.0 m/s at an angle of 35.0 above the horizontal. You can ignore air resistance.

a. Calculate the maximum height above the roof reached by the rock. Express your answer in meters. b. Calculate the magnitude of the velocity of the rock just before it strikes the ground. Express your answer in meters per second. c. Calculate the horizontal distance from the base of the building to the point where the rock strikes the ground. Express your answer in meters.

3. A Ferris wheel with radius R = 12.0 m is turning about a horizontal axis through its center in (Figure 1). The linear speed of a passenger on the rim is constant and equal to 6.60 m/s.

a. What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion? Express your answer with the appropriate units. b. What is the direction of the passenger's acceleration as she passes through the lowest point in her circular motion? towards the center or outwards from the center c. What is the magnitude of the passenger's acceleration as she passes through the highest point in her circular motion? Express your answer with the appropriate units. d. What is the direction of the passenger's acceleration as she passes through the highest point in her circular motion? towards the center or outwards from the center e. How much time does it take the Ferris wheel to make one revolution? Express your answer with the appropriate units.