1. A runner goes 3.73352 m in 14.7462 s. Find the velocity out to 6 digits, first using 6 significant figures in the inputs, then 5 significant figures, and so on down to 2 significant figures. Identify the place where the digits differ between consecutive answers. How do these answers compare to those determine by the significant digit rules? 2. List a measured property you might encounter in your future career. Explain why this property might require high or low precision? 3. A truck driver follows a road heading straight southwest. After 30 minutes the driver finds that she is 20 km west from where she started and 15 km south. How far has she driven in a straight line? 4. After launching, a model rocket is found to be 135 meters in a straight line from where it launched at an angle of 63 from the ground. How high is the rocket? What is the horizontal distance of the rocket? 5. Two men are pushing on a barrel. The first man is pushing with a force of 6.00 N in a direction 15 north of east. The second man is pushing with a force of 4.50 N in a direction 40 south of east. Using addition by components, find the magnitude and direction of the combined force. 6. An airplane is flying 23 east of north at a velocity of 177 km/h with respect to the ground. Its instruments indicate that its airspeed is 165 km/h with the plane pointed at 7 east of north. How fast is the wind and in what direction?