Reading Velocity-Time Graphs

Question 1

The graph shows a cart's velocity against time, with east positive. From 0 s to 4 s, what is the cart's acceleration?

Accepted Answer

2.0\,m/s^2

Answer

12.0\,m/s^2

Answer

0.50\,m/s^2

Answer

32\,m/s^2

Question 2

The graph shows a runner's velocity against time, with north positive. From 0 s to 5 s, what is the runner's acceleration?

Accepted Answer

-3.0\,m/s^2

Answer

3.0\,m/s^2

Answer

5.0\,m/s^2

Answer

-0.33\,m/s^2

Question 3

The graph shows an elevator's velocity against time, with upward positive. Over the whole 0 s to 8 s interval, what is the elevator's acceleration?

Accepted Answer

2.0\,m/s^2

Answer

8.0\,m/s^2

Answer

-2.0\,m/s^2

Answer

0.50\,m/s^2

Question 4

The graph shows a cart's velocity against time, with east positive. From 6 s to 9 s, what is the cart's acceleration?

Accepted Answer

-2.0\,m/s^2

Answer

2.0\,m/s^2

Answer

3.0\,m/s^2

Answer

-0.50\,m/s^2

Question 5

The graph shows a skateboarder's velocity against time, with east positive. From 0 s to 4 s, what is the skateboarder's acceleration?

Accepted Answer

-2.0\,m/s^2

Answer

2.0\,m/s^2

Answer

-0.50\,m/s^2

Answer

-10.0\,m/s^2

Question 6

The graph shows a train's velocity against time, with east positive. From 4 s to 12 s, what is the train's acceleration?

Accepted Answer

3.0\,m/s^2

Answer

30.0\,m/s^2

Answer

0.33\,m/s^2

Answer

24.0\,m/s^2

Question 7

The graph shows a cyclist's velocity against time, with north positive. From 0 s to 4 s, what is the cyclist's acceleration?

Accepted Answer

-3.0\,m/s^2

Answer

3.0\,m/s^2

Answer

15.0\,m/s^2

Answer

-0.33\,m/s^2

Question 8

The graph shows a toy car's velocity against time, with east positive. Over 0 s to 9 s, what is the toy car's acceleration?

Accepted Answer

2.0\,m/s^2

Answer

6.0\,m/s^2

Answer

-2.0\,m/s^2

Answer

0.50\,m/s^2

Question 9

The graph shows a glider's velocity against time, with east positive. From 0 s to 8 s, what is the glider's acceleration?

Accepted Answer

3.0\,m/s^2

Answer

25.0\,m/s^2

Answer

0.33\,m/s^2

Answer

12.0\,m/s^2

Question 10

The graph shows a cart's velocity against time, with east positive. From 0 s to 4 s, what is the cart's acceleration?

Accepted Answer

-2.5\,m/s^2

Answer

2.5\,m/s^2

Answer

-0.40\,m/s^2

Answer

-10.0\,m/s^2

Question 11

The graph shows a drone's velocity against time, with upward positive. From 0 s to 6 s, what is the drone's acceleration?

Accepted Answer

-2.0\,m/s^2

Answer

2.0\,m/s^2

Answer

-0.50\,m/s^2

Answer

10.0\,m/s^2

Question 12

The graph shows a sled's velocity against time, with east positive. From 0 s to 4 s, what is the sled's acceleration?

Accepted Answer

3.0\,m/s^2

Answer

8.0\,m/s^2

Answer

-3.0\,m/s^2

Answer

0.33\,m/s^2

Question 13

The graph shows a cyclist's velocity against time, with east positive. What is the cyclist's displacement from 0 s to 6 s?

Accepted Answer

36 m east

Answer

72 m east

Answer

18 m east

Answer

2 m east

Question 14

The graph shows a wagon's velocity against time, with east positive. What is the wagon's displacement from 0 s to 4 s?

Accepted Answer

20 m east

Answer

5 m east

Answer

0 m

Answer

1.25 m east

Question 15

The graph shows a bus's velocity against time, with north positive. What is the bus's displacement from 0 s to 8 s?

Accepted Answer

64 m north

Answer

128 m north

Answer

32 m north

Answer

-2 m north

Question 16

The graph shows a cart's velocity against time, with east positive. What is the cart's displacement from 0 s to 10 s?

Accepted Answer

30 m west

Answer

30 m east

Answer

3 m west

Answer

0 m

Question 17

The graph shows a trolley's velocity against time, with east positive. What is the trolley's displacement from 0 s to 4 s?

Accepted Answer

0 m

Answer

12 m east

Answer

12 m west

Answer

24 m east

Question 18

The graph shows a cart's velocity against time, with north positive. What is the cart's displacement from 0 s to 4 s?

Accepted Answer

0 m

Answer

16 m north

Answer

8 m north

Answer

8 m south

Question 19

The graph shows a scooter's velocity against time, with east positive. What is the scooter's displacement from 0 s to 6 s?

Accepted Answer

51 m east

Answer

60 m east

Answer

42 m east

Answer

2 m west

Question 20

The graph shows a skateboarder's velocity against time, with east positive. What is the skateboarder's displacement from 0 s to 6 s?

Accepted Answer

30 m west

Answer

30 m east

Answer

60 m west

Answer

18 m west

Question 21

The graph shows a train's velocity against time, with east positive. What is the train's displacement from 0 s to 6 s?

Accepted Answer

32 m east

Answer

48 m east

Answer

16 m east

Answer

4 m east

Question 22

The graph shows a cart's velocity against time, with east positive. What is the cart's displacement from 0 s to 6 s?

Accepted Answer

18 m east

Answer

30 m east

Answer

18 m west

Answer

3 m east

Question 23

The graph shows a car's velocity against time, with east positive. What is the car's displacement from 0 s to 8 s?

Accepted Answer

72 m east

Answer

96 m east

Answer

36 m east

Answer

3 m west

Question 24

The graph shows a robot's velocity against time, with east positive. What is the robot's displacement from 0 s to 6 s?

Accepted Answer

8 m east

Answer

16 m east

Answer

24 m east

Answer

8 m west

Question 25

The graph shows a cart's velocity against time, with east positive. What is the cart doing from 0 s to 4 s?

Accepted Answer

It is moving east and speeding up.

Answer

It is moving east and slowing down.

Answer

It is moving west and speeding up.

Answer

It is at rest the whole time.

Question 26

The graph shows a runner's velocity against time, with east positive. What best describes the runner from 0 s to 6 s?

Accepted Answer

The runner moves east while slowing down.

Answer

The runner moves west while speeding up.

Answer

The runner is below the starting position the whole time.

Answer

The runner has zero acceleration.

Question 27

The graph shows a sled's velocity against time, with east positive. What best describes the sled from 0 s to 4 s?

Accepted Answer

It moves west and speeds up.

Answer

It moves west and slows down.

Answer

It moves east and speeds up.

Answer

It is lower than its starting point.

Question 28

The graph shows a toy car's velocity against time, with east positive. What best describes the toy car from 0 s to 5 s?

Accepted Answer

It moves west while slowing down.

Answer

It moves west while speeding up.

Answer

It moves east while slowing down.

Answer

It is at rest because the graph is below the axis.

Question 29

The graph shows a trolley's velocity against time, with east positive. What happens at t = 4 s?

Accepted Answer

The trolley is momentarily at rest and changes direction.

Answer

The trolley has zero acceleration for the whole trip.

Answer

The trolley is farthest below its starting point.

Answer

The trolley is moving east at its greatest speed.

Question 30

The graph shows a cart's velocity against time, with north positive. Which statement is true from 0 s to 6 s?

Accepted Answer

The cart has constant northward velocity and zero acceleration.

Answer

The cart is speeding up northward.

Answer

The cart is slowing down northward.

Answer

The cart is at rest because the line is horizontal.

Question 31

The graph shows a cart's velocity against time, with east positive. Which statement is true from 0 s to 6 s?

Accepted Answer

The cart moves west at a constant speed.

Answer

The cart is stopped because the line is below zero.

Answer

The cart moves east at a constant speed.

Answer

The cart moves west and speeds up.

Question 32

The graph shows a cart's velocity against time, with east positive. During which interval is the magnitude of acceleration greatest?

Accepted Answer

5 s to 7 s

Answer

0 s to 2 s

Answer

2 s to 5 s

Answer

0 s to 5 s

Question 33

The graph shows a robot's velocity against time, with east positive. During which interval is the acceleration most positive?

Accepted Answer

2 s to 4 s

Answer

0 s to 2 s

Answer

4 s to 6 s

Answer

0 s to 6 s

Question 34

The graph shows a cart's velocity against time, with east positive. At which labeled time is the cart's speed greatest?

Accepted Answer

0 s

Answer

2 s

Answer

4 s

Answer

6 s

Question 35

The graph shows a scooter's velocity against time, with east positive. During which interval is the scooter's acceleration zero?

Accepted Answer

2 s to 5 s

Answer

0 s to 2 s

Answer

5 s to 7 s

Answer

0 s to 7 s

Question 36

The graph shows a cart's velocity against time, with east positive. Which statement best describes its motion from 0 s to 6 s?

Accepted Answer

Its displacement is 0 m, but it traveled 12 m total.

Answer

It stayed at its starting point the whole time.

Answer

It traveled 0 m total.

Answer

Its displacement is 12 m east.

Question 37

The graph shows a cart's velocity against time, with north positive. At t = 2 s, what is the cart doing?

Accepted Answer

It is moving south but slowing down.

Answer

It is moving north and speeding up.

Answer

It is at rest with zero acceleration.

Answer

It is moving south and speeding up.

Question 38

The graph shows a bus's velocity against time, with north positive. Which journey does the graph describe?

Accepted Answer

It speeds up northward, travels north at steady speed, then slows to a stop.

Answer

It travels south, stops, then travels north.

Answer

It stays still, then speeds up northward, then reverses.

Answer

It moves north at one constant speed for the whole trip.

Question 39

The graph shows a cart's velocity against time, with north positive. Which description matches the graph?

Accepted Answer

It moves south steadily, slows to rest, then moves north while speeding up.

Answer

It moves north steadily, stops, then moves south while speeding up.

Answer

It remains at rest until it moves north.

Answer

It moves south and speeds up the whole time.

Question 40

The graph shows a cart's velocity against time, with east positive. Which motion does it show?

Accepted Answer

It moves east while slowing to a stop, rests, then starts moving west.

Answer

It moves west while slowing to a stop, rests, then starts moving east.

Answer

It speeds up eastward, rests, then speeds up eastward again.

Answer

It moves below its starting point and then rises.

Question 41

The graph shows a train's velocity against time, with east positive. Which journey matches it?

Accepted Answer

It moves east steadily, speeds up eastward, then moves east steadily at a higher speed.

Answer

It stops, reverses west, then stops again.

Answer

It moves east steadily, then stays still, then moves east steadily.

Answer

It moves west steadily, speeds up westward, then stops.

Question 42

The graph shows a sled's velocity against time, with east positive. Which description matches the sled's motion?

Accepted Answer

It moves west while slowing to a stop, then remains at rest.

Answer

It moves west at a constant speed the whole time.

Answer

It moves east while speeding up, then remains at rest.

Answer

It is below its starting point and then climbs back up.

Question 43

The graph shows a trolley's velocity against time, with east positive. Which description matches the graph?

Accepted Answer

It moves east while slowing, reverses direction, then moves west steadily.

Answer

It moves west while slowing, reverses direction, then moves east steadily.

Answer

It moves east faster and faster the whole time.

Answer

It stops at 3 s and remains at rest.

Question 44

The graph shows a cart's velocity against time, with east positive. Which journey does the graph describe?

Accepted Answer

It starts from rest, speeds up westward, then slows to rest while still moving west.

Answer

It starts from rest, speeds up eastward, then slows to rest while still moving east.

Answer

It moves west steadily, stops, then moves east steadily.

Answer

It remains at rest the whole time.

Question 45

The graph shows a runner's velocity against time, with east positive. Which description matches the runner's motion?

Accepted Answer

The runner moves east steadily, slows down, then continues east steadily at a lower speed.

Answer

The runner moves east steadily, stops, then reverses west.

Answer

The runner is at rest during the first interval.

Answer

The runner moves west steadily, speeds up, then moves west steadily.

Question 46

On a velocity-time graph, what does the graph's slope represent?

Accepted Answer

The object's acceleration, in m/s²

Answer

The object's displacement, in m

Answer

The object's position, in m

Answer

The object's velocity, in m/s

Question 47

A student finds the signed area between a velocity-time graph and the time axis. Which quantity has the student found?

Accepted Answer

Displacement, in m

Answer

Acceleration, in m/s²

Answer

Velocity, in m/s

Answer

Time, in s

Question 48

Why does the area under a velocity-time graph have units of meters?

Accepted Answer

Because (m/s) multiplied by s gives m.

Answer

Because (m/s) divided by s gives m.

Answer

Because m multiplied by s gives m.

Answer

Because m/s is already the unit of displacement.

Question 49

On a velocity-time graph with east positive, what does signed area below the time axis contribute?

Accepted Answer

Negative displacement, meaning westward displacement

Answer

Extra positive displacement because area cannot be negative

Answer

A lower vertical position below the starting point

Answer

Zero displacement because negative velocity is ignored

Question 50

Which pairing correctly compares common motion graphs?

Accepted Answer

Position-time slope gives velocity; velocity-time slope gives acceleration; velocity-time area gives displacement.

Answer

Position-time slope gives acceleration; velocity-time slope gives displacement; velocity-time area gives speed.

Answer

Position-time area gives velocity; velocity-time slope gives position; velocity-time area gives acceleration.

Answer

Position-time slope gives displacement; velocity-time slope gives speed; velocity-time area gives time.

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Reading Velocity-Time Graphs

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Top Corner

Reading Velocity-Time Graphs

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner