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physics Physics For High Schools (KS4)

Solved problems for the chapter:

Speed - Time Graph

View the theory »

Motion

1. Point body

2. Speed

3. Forum

↓ Show theory [1] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:speed_-_time_graph/3478/

Example 1.

Two missiles are launched at the same time from the surface of the Earth. The graph below shows how the speeds of the missiles change with time.

Motion of the two missiles

Which statement about the missiles is correct?

Both missiles travel the same distance.
Missile A accelerates and then decelerates.
Missile A travels farther than missile B.
Missile B has zero acceleration.

Example 2.

The distance travelled by an object in motion is determined by?

the area under a distance–time graph
the area under a speed–time graph
the gradient of a distance–time graph
the gradient of a speed–time graph

The velocity-time graphs of the motion of three bodies are given. In which of them will its body make the longest journey?

Velocity-time graphs

The diagram shows the distance–time graph for the motion of an object.

Distance-Time Graph

How can the motion of the object be described?

At rest, then constant deceleration.
At rest, then constant speed.
Constant speed, then constant acceleration.
Constant speed, then constant deceleration.

The speed-time graph of a car is shown below:

Which regions of the graph indicate the car is in motion?

X and Z only
Y only
X, Y, and Z only
W, X, Y and Z

Which of the following is equal to acceleration?

area under a distance-time graph
area under a speed-time graph
gradient of a distance-time graph
gradient of a speed-time graph

The speed-time graph is used to describe the motion of an object. Which quantities are calculated from the gradient of the graph and from the area under the graph?

Speed and total journey time.
Acceleration and total journey time.
Speed and total distance travelled.
Acceleration and total distance travelled.

The graph below shows the motion of a car.

Which of the following correctly describes the motion of the car?

The acceleration increases uniformly and the distance travelled is .
The acceleration is constant and the distance travelled is .
The acceleration increases uniformly and the distance travelled is .
The acceleration is constant and the distance travelled is .

The speed-time graph below shows the motion of a truck.

Which of the following statements is true about the motion of the truck?

The truck accelerates between points A and B and then remains at rest between points B and C.
The truck accelerates between points A and B and then travels at a constant speed between points B and C.
The truck travels at a constant speed between points A and B and then remains at rest between points B and C.
The truck travels at a constant speed between points A and B and then decelerates between points B and C.

10.

A boy runs at a constant speed and then constant acceleration. Which of the graphs below is the speed-time graph of the motion of the boy?

11.

What does the area under a speed-time graph represent?

Distance travelled
Acceleration
Deceleration
Average speed

12.

The graph below is the speed-time graph of the journey of a car. In which labelled section is the car decelerating?

13.

The figure below shows the speed-time graph of the motion of a body.

Which area represents the distance travelled while the body is accelerating?

14.

The velocity-time graph of a motion is shown below:

Velocity-time graph

From the data on the graph, complete the table below:

0.1
0.2
0.3
Draw the distance-time graph of the motion.

15.

Blaze runs at a constant speed of 4 m/s. Draw the:

distance-time graph,
speed-time graph

of the first 6 seconds of his motion.

16.

The motion of a body is described by the graph below:

Is the motion uniform or non-uniform?
What is the initial speed and start time of the motion?
What is the final speed and the total time of travel of the motion?
What is the speed of the body after 6 s?
Calculate the acceleration of the motion.
How much distance is covered in the last two seconds of the motion?

Motion graph

17.

The graph of the motion of a body is shown below.

Which of the statements is true about the motion of the body between points A and B?

Its acceleration takes a longer time than its deceleration.
It travels at a constant speed for less than half of its journey time.
It travels a distance of in the first .
It travels a distance of at constant speed.

18.

The table below shows the changes in the speed and time of the motion of a car during a journey.

Time ()	0	10	20	30	40	50
Speed ()	0	9.0	18	27	27	27

Draw a speed-time graph to represent the car's journey.
From the graph, calculate the acceleration of the car during the first of the journey.
From the graph, determine the total distance travelled by the car during the journey.

19.

A truck is travelling at a speed of . The driver then applies the brake and stops the truck. The graph below shows the last part of the journey.

Calculate the distance travelled by the truck as it slows down.

20.

The graphs below show the motion of objects A and B travelling in a straight line.

Describe the motion of the two objects.

21.

Athletes A and B participate in a race. Athlete A runs at a constant speed of from the start of the race while athlete B's speed increases from to within the first of the race. On the graph below, draw the graphs of the motion of the two athletes.


0.1
0.2
0.3