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12.05 Units of speed

Worksheet
Units of speed
1

Should the time component be written first or second when writing units for speed? Explain your answer.

2

State the unit that is most appropriate for measuring the speed of:

a

A person running.

b

A car driving.

c

A slug moving.

d

A motorcyclist riding.

e

A cheetah running.

f

A baby crawling.

3

Determine whether the following unit is the most appropriate for measuring the speed of constructing a skyscraper:

a

Vertical metres per hour.

b

Floors per month.

c

Floors per day.

4

For each of the following pairs of speeds, state which one is faster and why:

a

60 \text{ m/hr} and 60 \text{ km/hr}

b

70 \text{ m/h} and 70 \text{ m/s}

Speed conversions
5

Convert the following:

a

2500 \text{ m} into kilometres.

b

2100 seconds into minutes.

c

45 \text{ km/hr} into metres/second.

d

7.562 \text{ km} into metres.

e

6.85 hours into seconds.

f

14 \text{ m/s} into kilometres/hour.

6

Convert each of the following speeds from kilometres per hour to metres per minute:

a

60 \text{ km/hr}

b

5 \text{ km/hr}

c

24 \text{ km/hr}

7

Write each of the following speeds in kilometres per hour:

a

600 \text{ m/min}

b

12 \text{ m} travelled in 90 minutes.

c

1600 \text{ m} travelled in 131 minutes, correct to two decimal places.

8

Calculate the speed in kilometres per hour for each of the following situations. Round your answer to one decimal place where necessary.

a

A car which travels 400 \text{ km} in 5 hours.

b

A cyclist who cycles 50 \text{ km} in 3 hours.

c

A train which travels 650 \text{ km} in 6 hours.

d

A boat which travels 10\,000 \text{ m} in 2 hours.

e

A go-kart which travels 35\,900 \text{ m} in 3 hours.

f

A person who has hiked 9000 \text{ m} in 1.5 hours.

g

A car which travels 20 \text{ km} in 30 minutes.

h

A cyclist who rides a total of 78 \text{ km} in 180 minutes.

i

A train which travels 15 \text{ km} in 10 minutes.

j

A car which travels 112 \text{ km} in 75 minutes.

Applications
9

Sophia captured footage of a hawk diving 200 \text{ m} in 10 seconds. Using this as a comparison, what units would be most appropriate for measuring the speed of a feather falling to the ground?

10

A race on land between two giant tortoises was recorded. The race was 200 \text{ m} long and the timekeeper (not a tortoise) measured the race in minutes. What would be the most appropriate unit for the average speed of each tortoise?

11

Oliver hikes for three hours, moving at a speed of 1.4 metres per second.

a

What unit would be more appropriate to describe his speed?

b

Hence, convert Oliver's speed to the more appropriate units.

12

Vanessa eats doughnuts at a rate of 0.13 doughnuts per second in a doughnut eating competition.

a

What would be a more appropriate unit of speed to describe this situation: doughnuts per hour or doughnuts per minute?

b

Hence, convert Vanessa's speed to the more appropriate units.

13

A turtle crawls for half an hour at a speed of 0.001 kilometres per second.

a

What unit would be more appropriate to describe the turtle's speed?

b

Hence, convert the turtle's speed to the more appropriate units.

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Outcomes

ACMEM085

identify the appropriate units for different activities, such as walking, running, swimming and flying

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