Overview
!.Given the following vectors, A =(ax,ay) = (4,3) and B =(bx,by) = (7,1) and C = A + B, what is the magnitude of C?
2.To get to school from your house, you drive 6 miles south and then 10 miles west. What is the displacement from your house to the school?
3To get to school from your house, you drive 6 miles south and then 10 miles west. From your house, at what positive angle with respect to east should you point in order to point to the school?
4Starting from your home, suppose you cycle 10.0 km east and then 15.0 km north to get to a shopping mall. After shopping, you cycle 5.0 km west and then 14.1 km south-west to meet your friend for dinner at a restaurant. In what direction should you travel to get home? Give this direction as a positive angle with respect to east.
5Seeing that she is approaching slow traffic, a driver presses the brakes, decreasing the car's velocity from 50 m⁄s to 15 m⁄s in a time of 5 seconds. What is the average acceleration of the car in this process? (number only, no units)
6Nerve impulses travel at different speeds, depending on the type of fiber through which they move. The impulses for touch travel at 76.2 m/s, while those registering pain move at 0.610 m/s. If a person stubs his toe, what is the time delay between the pain and touch impulses if his brain is 1.85 m from his toe and the impulses travel directly from toe to brain?
7If a pilot accelerates at more than 4 g, he begins to "gray out," but not completely lose consciousness. What is the shortest distance (in meters) that a jet pilot starting from rest can travel to reach Mach 4 (four times the speed of sound) without graying out? (Use 331m/s for the speed of sound in cold air) (number only, no units)
8During an auto accident, the vehicle's air bags deploy and slow down the passengers more gently than if they had hit the windshield or steering wheel. According to safety standards, air bags produce a maximum acceleration of 60g that lasts for only 36ms (or less). How far (in meters) does a person travel in coming to a complete stop in 36ms at a constant acceleration of 60g? (number only, no units)
9Astronauts on our moon must function with an acceleration due to gravity of 0.162 g. (a) If an astronaut can throw a certain wrench 12.0 m vertically upward on earth, how high could he throw it on our moon (in meters) if he gives it the same starting speed in both places? (number only, no units)
10Astronauts on our moon must function with an acceleration due to gravity of 0.162g. An astronaut can throw a certain wrench 12.0 m vertically upward on earth. (b) If the astronaut were to throw this same wrench vertically upward with the same starting speed on the moon, how much longer would it be in motion (going up and coming down)? (number only, no units)