Distance vs. Displacement
Maya is at the museum meeting a friend. After they finish viewing the exhibits, she walks to the supermarket to buy snacks for later.
What is Maya’s total distance traveled?
Use the number line to answer.
5 m
What are the units for speed?
m/s
distance unit/time unit
According to the graph, how far did Runner A travel in total?
20 m
A bus is moving east at 12 m/s. Inside the bus, Michelle walks toward the front of the bus at 3 m/s. What is Michelle’s resultant velocity compared to the ground?
15 m/s east
What is the definition for acceleration?
change in velocity
Jacob is waiting at the school for his ride home. On the way home, his mom stops at the bank. Jacob realizes he left his homework at school, so they return to the school. After picking it up, they continue driving home to the hotel.
What is Jacob's displacement?
30 m
Liam is riding his scooter home from school. He travels 20 meters in 4 seconds without stopping. How fast is Liam riding on his scooter?
5 m/s
What is Runner A’s displacement at 2 seconds?
10 m
Amit is sitting on a bus moving east at 20 m/s. She looks out the window and sees a car driving east at 28 m/s. From Amit’s point of view, what is the car’s relative velocity?
8 m/s east
Devan is riding his scooter home from school. At first, he is moving slowly at 2 m/s. After pushing harder, his speed increases to 10 m/s in 4 seconds. What is Devan’s acceleration?
2 m/s2
Luis is at the stadium watching a football game. After the game, he walks to the firehouse on his way back to the hotel. While he is there, he finds a lost cat. He then goes to the police station to drop off the cat before finally heading back to the hotel.
What is his total distance traveled?
70 m
Francesca is running during gym class at a constant speed of 3 m/s. She runs for 6 seconds without stopping. How far does she travel?
18 m
What is Runner B’s displacement at 3 seconds?
16 m
A train is moving west at 18 m/s. Inside the train, Zeph walks toward the back of the train at 4 m/s. What is Zeph’s resultant velocity compared to the ground?
14 m/s west
Ella is riding her bike in the park. She starts at a speed of 0 m/s and speeds up to 18 m/s in 6 seconds as she goes down a hill. What is Ella’s acceleration?
3 m/s2
Arbel is leaving the cafe after finishing her homework. On her way home, she stops at the cinema to check movie times. Then she walks to the supermarket to grab snacks. After that, she heads to the bank to meet her parent, and finally they go together to the hotel.
What is Arbel’s total distance traveled? Use the number line to answer.
90 m
Theo is walking home from the café to the museum. The distance between the two locations is 24 meters. He walks at a constant speed of 4 m/s. How long does it take Theo to reach the museum?
6 s
Between 2 and 3 seconds, what is Runner B doing?
Runner B stopped moving
Matthew is sitting on a train moving north at 30 m/s. He looks out the window and sees another train moving south at 25 m/s. From Matthew’s point of view, what is the other train’s relative velocity?
55 m/s south
Rony is running during gym class at 12 m/s. She slows down to 6 m/s over 3 seconds as she gets tired. What is Rony’s acceleration?
-2 m/s2
Noah is at the theater waiting for his family. He walks to the café to get a drink. Then he goes to the school to drop something off. After that, he walks to the museum, but realizes he forgot his phone at the school, so he returns there. Finally, he walks all the way back to the theater.
What is Noah’s displacement? Use the number line to answer.
0m
What are the formulas for finding Speed, Distance & Time?
(Write them all out)
Speed= Distance/Time
Distance= Speed X Time
Time= Distance/Speed
2 Part Question:
What is Runner B's total distance traveled?
What is the Speed of Runner A from 0-4 seconds?
32m
5 m/s
Include the rules for both!
Relative Velocity: Is comparing two velocities from someone's point of view. Same Direction- Subtract and Opposite Direction-Add
Resultant Velocity: Is when 2 velocities are interacting. Same Direction- Add and Opposite Direction- Subtract
Christian is riding his skateboard at 20 m/s. He slows down to 5 m/s in 5 seconds as he approaches a stop sign. What is Christian’s acceleration?
-3 m/s2