Question

QUESTION 1

1. Starting in Albany, you travel a distance 370 miles in a direction 37.8 degrees north of west. Then, from this new position, you travel another distance 348 miles in a direction 21.1 degrees north of east. In your final position, what is your displacement from Albany?

   		354 miles 84.8 degrees North of West
   		718 miles 58.9 degrees North of East
   		537 miles 38.2 degrees North of West
   		718 miles 58.9 degrees North of West

QUESTION 2

1. You start out by driving 119 miles south in 4 hours and 7 minutes, and then you stop and park for a while. Finally you drive another 42 miles north in 3 hours and 48 minutes. The average velocity for your entire trip was 7.78 miles per hour to the south. How much time did you spend parked?

   		9 hours 53 minutes
   		1 hours 58 minutes
   		3 hours 57 minutes
   		0 hours 59 minutes

5 points   

QUESTION 3

1. A rocket-powered sled moves along a track, eventually reaching a top speed of 161 m/s to the west. It then begins to slow down, reaching a complete stop after slowing down for 2.97 s. What was the sled s average acceleration and velocity during the slowdown phase?

   		54.2 m/s^2 west, not enough information
   		80.5 m/s^2 east, 80.5 m/s east
   		54.2 m/s^2 east, not enough information
   		0 m/s^2 0, 80.5 m/s west

5 points   

QUESTION 4

1. You have exactly 5 minutes 46 seconds to get to your next class on time and that classroom is 178 m east of where you are right now. First you run to your dorm room at an average velocity of 4.41 m/s to the south to pick up your calculator and your dorm room is 219 m south of where you were initially. What average velocity (magnitude only) do you now need to run from your dorm room to your classroom to arrive exactly on time?

   		0.82 m/s
   		4.41 m/s
   		0.95 m/s
   		1.15 m/s

5 points   

QUESTION 5

1. A car drives around a circular track of diameter 67 m at a constant speed of 30.6 m/s. During the time it takes the car to travel 248 degrees around, what is the magnitude of the car s average acceleration?

   		13.98 m/s^2
   		10.71 m/s^2
   		0 m/s^2
   		27.95 m/s^2

QUESTION 2

1. You start out by driving 119 miles south in 4 hours and 7 minutes, and then you stop and park for a while. Finally you drive another 42 miles north in 3 hours and 48 minutes. The average velocity for your entire trip was 7.78 miles per hour to the south. How much time did you spend parked?

   		9 hours 53 minutes
   		1 hours 58 minutes
   		3 hours 57 minutes
   		0 hours 59 minutes

QUESTION 3

1. A rocket-powered sled moves along a track, eventually reaching a top speed of 161 m/s to the west. It then begins to slow down, reaching a complete stop after slowing down for 2.97 s. What was the sled s average acceleration and velocity during the slowdown phase?

   		54.2 m/s^2 west, not enough information
   		80.5 m/s^2 east, 80.5 m/s east
   		54.2 m/s^2 east, not enough information
   		0 m/s^2 0, 80.5 m/s west

QUESTION 4

1. You have exactly 5 minutes 46 seconds to get to your next class on time and that classroom is 178 m east of where you are right now. First you run to your dorm room at an average velocity of 4.41 m/s to the south to pick up your calculator and your dorm room is 219 m south of where you were initially. What average velocity (magnitude only) do you now need to run from your dorm room to your classroom to arrive exactly on time?

   		0.82 m/s
   		4.41 m/s
   		0.95 m/s
   		1.15 m/s

QUESTION 5

1. A car drives around a circular track of diameter 67 m at a constant speed of 30.6 m/s. During the time it takes the car to travel 248 degrees around, what is the magnitude of the car s average acceleration?

   		13.98 m/s^2
   		10.71 m/s^2
   		0 m/s^2
   		27.95 m/s^2

Answer 1

Express each displacement along coordinate axis in component form and add them using vector method to find the resultant magnitude and direction as shown below