Distance and displacement problems- ENR

Vector

A quantity that has magnitude and direction

Scalar

A quantity that has magnitude only.

5km north

Aaron runs 7km north, 4km south, and 2 km north. What is his displacement?

southeast

Benji walks 4 meters south and 3 meters east. What is the direction of his displacement?

10 m, west

Dexter walks 70m east, then 80m west. What is his displacement?

less than

Dexter walks 70m east, then 80m west. When comparing his displacement and distance, his displacement is ________ his distance

10 m

Emma walks 5 meters west, stops by the store, then walks 5 more meters in the same direction. What is her distance?

equal to

Emma walks 5 meters west, stops by the store, then walks 5 more meters in the same direction. When comparing her displacement and distance, her displacement is _________ her distance.

0 km

Glenn runs 4 laps around a .5km track. What is his displacement?

2m east

Jason runs 2m north, 2m east, and then 2m south. What is his displacement?

6m

Jason runs 2m north, 2m east, and then 2m south. What is his distance?

30m east

Jason runs 30m north, 30m east, and then 30 m south. What is his displacement?

10km

Leah walks east for 2km, stops for a break, the runs in the same direction for 3km before she stops. She turns around and runs back to where she started. What is her distance?

6 mi

Liz drives to the library which is 6 mi away. She drives 3mi north, 2mi east, another 3 mi north, and 2 mi west. What is the magnitude of her displacement?

north

Mackenzie faces south and walks backwards ten steps. What will be the direction of her displacement?

5 km south

Marcus rides his bike 10 km south, turns back and stops halfway. His displacement is

12 blocks

Mike does a lap around his neighborhood. His neighborhood is a perfect square and one side is exactly 3 blocks. What is his distance?

10 m, east

Rachel swims from the west side of a 20m pool to the east side. Then she swims back to the other side but stops midway. What is her displacement?

northwest

Serena bikes 100 meters north, 50 meters west, 20 meters south, and 20 meters east. What direction is her displacement?

south

Shannon's house is 4 blocks South from Janet's house. Claire's house is 3 blocks North of Shannon's house. What direction do you have to walk to get to Claire's house from Janet's house?

more than

Stacy walks west for 15 meters and walks east 15 meters. Her distance is ____________ her displacement.

30 m

Stacy walks west for 15 meters and walks east 15 meters. Her distance is...

Displacement

The overall change in position

Distance

The total length traveled

0 blocks

Whitney walks to her aunt's house 5 blocks away and goes back home. She stops by her friends house along the way who lives 4 blocks away from aunt's house. What is Whitney's displacement?

Reference point

a location to which you compare other locations

Relative motion

movement in relation to a frame of reference or someone's point of view

Direction

north,south,east,west,up,down,left,right, etc.