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Solved problems for the chapter:

Distance - 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:distance_-_time_graph/3472/

Example 1.

The graph below shows how the distance travelled by a vehicle changes with time.

Which row describes the speed of the vehicle in each section of the graph?

	P to Q	Q to R	R to S
A	constant	zero	constant
B	constant	zero	decreasing
C	increasing	constant	decreasing
D	increasing	zero	decreasing

Example 2.

Which of the distance-time graphs below represents an object that is at rest?

The graph below shows how the distance of a car changes with time.

Which of the following represents the speed of the car?

The distance-time graph below shows the motion of a car.

Which row in the table below describes the motion?

	between P and Q	between Q and R
A	accelerating	moving at constant speed
B	moving at constant speed	at rest
C	accelerating	at rest
D	moving at constant speed	accelerating

The figure below shows a distance-time graph of an object moving in a straight line.

What is the average speed between X and Y?

The graph below shows how the distance covered by a car changes with time over part of a journey.

Which section of the graph shows that the car is moving at a constant speed and which section shows it is at rest?

	constant speed	at rest
A	1	3
B	2	3
C	2	4
D	3	4

The figure below shows a distance-time graph for an object which is moving at a constant speed.

What is the speed of the object?

The graph below shows how the distance of a body varies with time.

Which row in the table below describes the motion of the body at time P and Q?

	P	Q
A	at rest	accelerating
B	moving with constant speed	at rest
C	at rest	moving with constant speed
D	moving with constant speed	accelerating

The figure below shows the distance-time graph for the motion of an object.

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

10.

Which distance-time graph below represents the motion of a body moving at constant speed.

11.

The distance-time graph of the motion of a trolley is shown below:

Draw and complete a table of the distance and time of the motion.
Calculate the speed of the trolley in both cm/s and m/s.
Draw the velocity-time graph of the motion.

12.

The graph below shows how a runner's distance changed over time.

Complete the values on the coordinate axes and answer the following questions:

How long did the runner rest during the run?
What was his speed in the last thirty seconds?
What was his average speed?

13.

The two graphs in the image below show how the distances of two cars change over time. Which car has a higher average speed?

14.

Two distance-time graphs are shown below. Which graph represents an object that is at rest?

15.

Three students A, B, and C walk together from a school to a bridge. The students rest together on the bridge for and then return separately to school. The distance-time graphs of the motion of the three students are shown below:

Determine the distance from the school to the bridge.
Calculate the average speed of the students when they are walking to the bridge. Give your answer in .
The students return to school at different speeds. One student walks slowly, one student
walks quickly and the other student runs. State which student runs. Explain how this is shown by the graph.

16.

The figure below shows the distance-time graph of a truck. The journey has two sections PQ and QR.

Calculate the speed of the truck in section PQ.
Describe the motion of the truck in section QR on the graph.

17.

The figure below shows the distance-time graph of a trolley as it travels down a slope.

Describe the motion of the trolley from time 0 to 10 seconds.

18.

The figure below shows the distance-time graphs of two cyclists, P and Q.

Calculate the speed of cyclist P at time .
State and explain which cyclist, P or Q, has the greater speed during the first 15 seconds
Describe the motion of cyclist Q after 30 seconds.

19.

Students P and Q run in a race. The figure below shows the distance-time graph for each student during the race.

Determine the time taken for student Q to run .
Determine the distance between the two students as Q reaches .

20.

Students P and Q run in a race. The figure below shows the distance-time graph for each student during the race.

State which student has the faster speed between and .
Explain how the figure above allows you to compare the speeds of the two students without calculation.