1.) As you walk to class with a constant speed of 1.85 m/s, you are moving in a direction that 20.5 north of east. a) How much time does it take to change your displacement by 17.0 m east? b) How much time does it take to change your displacement by 29.0 m north? 2.) Starting from rest, a car accelerates at 2.9 m/s^2 up a hill that is inclined 5.6 above the horizontal. a) How far horizontally has the car traveled in 11 s? b) How far vertically has the car traveled in 11 s? 3.) A skateboarder travels on a horizontal surface with an velocity of 3.8 m/s toward the south and a constant acceleration of 1.8 m/s^3 toward the east. Let the x direction be eastward and the y direction be northward, and let skateboarder be at the origin at t = 0. a) What is her x position at t = 0.90 s? b) What is her y position at t = 0.90 s? c) What is her x velocity component at t = 0.90 s? d) What is her y velocity component at t = 0.90 s? 4.) Child 1 throws a snowball horizontally from the top of a root; Child 2 throws a snowball straight down. a) Once in flight, is the acceleration of snowball 2 greater than, less than, or equal to the acceleration of snowball 1? 5.) Two divers run horizontally off the edge of a low cliff. Diver 2 runs with twice the speed of diver 1. a) When the divers hit the water, is the horizontal distance covered by diver 2 twice as much, four times as much or equal to the horizontal distance covered by diver 1? b) Choose the best explanation from among the following: All divers in free fall cover the same distance Drop distance depends on t^2 The drop time is the same for both divers. 6.) An archer shoots an arrow horizontally at a target 12 m away. The arrow is aimed directly at the center of the target, but it hits 54 cm lower. a) What was the initial speed of the arrow? Express in meters per second 7.) The great, gray- green, greasy Zambezi River flows over Victoria Falls in south central Africa. The falls are approximately 107 m high. a) If the river is flowing horizontally at 3.70 m/s just before going over the falls, what is the speed of the water when it hits the bottom? Assume the water is in free fall as it drops