TOPIC-Distance and Displacement
1. Chanice drives her scooter 7 kilometres north. She stops for lunch and then drives 5 kilometres east. What distance did she cover? What was her displacement?
2. Anthony walks to the pizza place for lunch. He walk 1 km east, then 1 km south and then 1 km east again. What distance did he cover? What was his displacement?
3. On his fishing trip Justin rides in a boat 12 km south. The fish aren’t biting so they go 4 km west. They then follow a school of fish 1 km north. What distance did they cover? What was their displacement?
4. Tara goes on a camel safari in Africa. She travels 5 km north, then 3 km east and then 1 km north again. What distance did she cover? What was her displacement?
5. Alex goes cruising on his dirt bike. He rides 700 m north, 300 m east, 400 m north, 600 m west, 1200 m south 300 m east and finally 100 m north. What distance did he cover? What was his displacement? (use 1m = 100cm)
6. Jose buys a new moped. He travels 3 km south and then 4 km east. How far does he need to go to get back to where he started?
7. David walks 3 km north, and then turns east and walks 4 km.
8. Amy runs 2 miles south, then turns around and runs 3 miles north.
9. Jermaine runs exactly 2 laps around a 400-meter track.
10. Derrick crawls 4 feet south, and then turns east and crawls 6 feet.
11. Ray runs 30 feet north, 30 feet west, and then 30 feet south
Find the distance (Dist) and displacement (Displ) each person moves in the following situations. Record your answers on your paper in the appropriate blank.
1. Jamison spins around 5 times without moving any direction.
2. Cassidee walks 1 mile north then turns west and walks 2 miles.
3. Taja walks two miles north from her door to the park, then returns home to her door.
4. Sandy ran 8 blocks north, and then 2 blocks south back toward her starting point.
5. Neva swam 3 complete laps in a 50 meter pool. (1 lap is one length of the pool)
Draw your own diagram for the following situations. Then, find the distance (Dist) and displacement (Displ) each person moves.
6. John flies directly east for 20 km, then turns to the north and flies for another 10 km before dodging a flock of geese.
7. Cameron flies directly west for 13 km, then turns to the south and flies for another 30 km. He then flies east for 13 km before landing at the airport.
8. Marissa runs north for 37 meters, then turns east and runs for another 10 meters, then stops.
9. Alex walks east for 3 km, stops for a break, and then runs the same direction for 4 km before he stops.
10. Taylor rides her bicycle 20 km north, turns around, and then rides the bicycle 15 km back toward her starting point.
Answers
Answer:
the and is ..,... Rd in the morning and then we can to be a part of the following week is going good for you to come home to you and your family have a merry and write to the.
Explanation:
Displacement is not the distance Chanice drove, but rather the distance she is located away from her starting point. It might be easier to remember this by thinking is "displaced" from her original location.
The easiest way to set this up might be to draw a picture on graph paper. Since she drove 7km north, draw a vertical line 7 boxes tall (each box = 1 km). Since she drove 5 km east, draw a horizontal line (starting from the top of the 7km line) 5 boxes long. Connect the two lines to form a triangle. So you know the length of two sides of the triangle, but you need the length of the hypotenuse (which is also the displacement).
To find the length of one missing side in a triangle, you can use the Pythagorean Theorem:
a2 + b2 = c2
72 + 52 = c2
49 + 25 = c2
74 = c2
√74 = c2
c ≈ 8.60 km
8.60 km is Chanice's approximate displacement.