Interface Computer College
I. Multiple Choice:
1. A car moved 80 km to the South. What is its displacement?
A: 20 km South B: 50 km East C: 80 km South D: 160 km North
2. A car moved 60 km East and 90 km West. What is the distance?
A: 30 km B: 60 km C: 90 km D: 150 km
3. A car moved 60 km East and 90 km West. What is the displacement?
A: 30 km West B: 60 km West C: 30 km East D: 150 km
4. Average velocity can be calculated by dividing displacement over what?
A: time B: distance C: mass D: density
5. What is the average velocity of a car that moved 60km in 3 hours?
A: 10 km/h B: 20 km/h C: 30 km/h D: 60 km/h
6. What is the average velocity of a car that moved 40 km East and 80 km West in 2 hours?
A: 5 km/h B: 10 km/h C: 15 km/h D: 20 km/h
7. How far will a car travel in 25 min at 12 m/s?
A: 10 km B: 14 km C: 18 km D: 24 km
8. How far will a car travel in 2 hours at 20 m/s?
A: 144 km B: 158 km C: 168 km D: 234 km
II. Problem Solving: (Show your solutions)
1. A truck starts from rest and gains a velocity of 20 km/hr in 8 seconds while moving on a straight road. What is the magnitude of acceleration of the truck?
2. A mountain climbing expedition establishes a base camp and two intermediate camps, A and B. Camp A is 11,200 m east of and 3,200 m above base camp. Camp B is 8,400 m east of and 1,700 m higher than Camp A. Determine the displacement between base camp and Camp B.
3. An ambitious hiker walks 25 km west and then 35 km south in a day. Find the magnitude and direction of the hiker’s resultant displacement (relative to due west).
4. I went for a walk the other day. I went four avenues east (0.80 miles), then twenty-four streets south (1.20 miles), then one avenue west (0.20 miles), and finally eight streets north (0.40 miles).
a. What distance did I travel?
b. What’s my resultant displacement (magnitude and direction relative to due east)?
5. While Dexter is on a camping trip with his boy scout troop, the scout leader gives each boy a compass and a map. Dexter’s map contains several sets of directions. For the two sets below, draw and label the resultant (R). Then use the Pythagorean theorem to determine the magnitude of the resultant displacement for each set of two directions.
a. Dexter walked 50 meters at a direction of 225° and then walked 20 meters at a direction of 315°.
b. Dexter walked 60 meters at a direction of 135° and then walked 20 meters at a
direction of 45°.