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7.025 Travel graphs

Worksheet
Travel graphs
1

This travel graph represents a train's journey between the airport and a nearby station:

a

How far did the train travel over the \\10-minute period?

b

When was the train travelling the fastest?

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\text{Time (mins)}
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\text{Distance (km)}
2

Kenneth works for a delivery company. The following graph shows his distance from the warehouse throughout his shift:

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\text{Time (hours)}
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\text{Distance (km)}
a

How far was Kenneth from the warehouse at the start?

b

How far was he from the warehouse after 8 hours?

c

Find the distance that he travelled between 1 and 3 hours.

d

Find the distance that he travelled between 3 and 4 hours.

e

Find the total distance that he travelled between 1 and 4 hours.

f

Calculate the speed for each of the following time intervals:

i

Between 0 and 1 hours.

ii

Between 1 and 3 hours.

iii

Between 3 and 4 hours.

iv

Between 4 and 5 hours.

v

Between 5 and 6 hours.

vi

Between 6 and 8 hours.

vii

Between 8 and 9 hours.

viii

Between 9 and 10 hours.

g

When was Kenneth travelling the fastest?

3

The travel graph shows the first ten minutes of a student's journey home from school:

For each of the given time intervals, calculate the following. Round your answers to two decimal places when necessary.

i

Calculate the distance travelled.

ii

Calculate the speed.

a

0 to 3 minutes

b

3 to 6 minutes

c

6 to 9 minutes

d

9 to 10 minutes

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\text{Time (mins)}
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\text{Distance (km)}
4

The Weber family travel 600\,\text{km} every year for their annual holidays.

Their distance from home on the trip this year is given in the following travel graph:

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\text{Time (hours)}
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\text{Distance (km)}
a
Calculate the distance travelled for each of the following time interval:
i

t=0 to t=2

ii

t=2 to t=3

iii

t=3 to t=5

iv

t=5 to t=8

b
Calculate the speed for each of the following time interval:
i

t=0 to t=2

ii

t=2 to t=3

iii

t=3 to t=5

iv

t=5 to t=8

c

When did they stop for a break?

d

How far from their destination were they after 2 hours?

e

Identify two time periods when they were travelling at the same speed.

5

Paul is driving his child home from school. They travel 6\text{ km} in 10 minutes. After 5 minutes, the car slows down.

Construct a travel graph to represent this journey.

6

The stages of dishwasher's operation are given below:

  1. The dishwasher quickly fills to half-way and performs a short wash.
  2. The dishwasher empties completely.
  3. The dishwasher completely fills up quickly and remains full over the course of the wash.
  4. The dishwasher empties completely.

Sketch a graph which models the water level inside the dishwasher throughout a cycle.

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Outcomes

1.3.3.1

use graphs in practical situations

1.3.3.2

interpret graphs in practical situations [complex]

1.3.3.3

draw graphs from given data to represent practical situations [complex]

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