EQUATIONS OF CONSTANT ACCELERATION



Slow to Fast

Use your best estimates to place the following in order of speed starting with the slowest.

Racing car Walking man Race horse

Car on motorway Tortoise Light in glass

Jumbo jet Runner Jet fighter Rocket

Sound in air Snail Light in space Sky diver

Slow to Fast

Use your best estimates to place the following in order of speed starting with the slowest.

Racing car Walking man Race horse

Car on motorway Tortoise Light in glass

Jumbo jet Runner Jet fighter Rocket

Sound in air Snail Light in space Sky diver

Slow to Fast

Use your best estimates to place the following in order of speed starting with the slowest.

Racing car Walking man Race horse

Car on motorway Tortoise Light in glass

Jumbo jet Runner Jet fighter Rocket

Sound in air Snail Light in space Sky diver

average speed = distance ( time

To do: Complete the questions below.

1. Calculate the average speed of a car that travels 600m in 60 seconds.

2. Calculate the average speed of a cyclist who travels 100m in 5 seconds.

3. Calculate the average speed of a train that travels 4000m in 80 seconds.

4. Calculate the average speed of a bus that travels 2500m in 500 seconds.

5. Calculate the average speed of a rocket that travels 3000m in 2 seconds.

6. Calculate the average speed (in km/h) of a car that travels 200km in 2 hours.

7. Calculate the average speed (in km/h) of a cyclist who travels 30km in 3 hours.

8. Calculate the average speed (in km/h) of a train that travels 500km in 4 hours.

9. Calculate the average speed (in km/h) of a bus that travels 60km in 3 hours.

10. Calculate the average speed (in km/h) of a rocket that travels 4000km in 30 minutes.

average speed = distance ( time

To do: Complete the questions below.

1. Calculate the average speed of a car that travels 600m in 60 seconds.

2. Calculate the average speed of a cyclist who travels 100m in 5 seconds.

3. Calculate the average speed of a train that travels 4000m in 80 seconds.

4. Calculate the average speed of a bus that travels 2500m in 500 seconds.

5. Calculate the average speed of a rocket that travels 3000m in 2 seconds.

6. Calculate the average speed (in km/h) of a car that travels 200km in 2 hours.

7. Calculate the average speed (in km/h) of a cyclist who travels 30km in 3 hours.

8. Calculate the average speed (in km/h) of a train that travels 500km in 4 hours.

9. Calculate the average speed (in km/h) of a bus that travels 60km in 3 hours.

10. Calculate the average speed (in km/h) of a rocket that travels 4000km in 30 minutes.

distance = average speed x time

time = distance ( average speed

1 kilometre (km) = 1000 metres

Answer 2 questions from each section below

a. How far, in metres, will a car travel in 20 seconds at an average speed of 20 m/s?

b. How far, in metres, will a bus travel in 100 seconds at an average speed of 15 m/s?

c. How far, in metres, will a person travel in 300 seconds at an average speed of 2 m/s?

d. How far, in metres, will a train travel in 500 seconds at an average speed of 25 m/s?

e. How far, in metres, will a rocket travel in 3 seconds at an average speed of 10 000 m/s?

f. How far, in kilometres, will a car travel in 3 hours at an average speed of 60 km/h?

g. How far, in kilometres, will a bus travel in 2 hours at an average speed of 60 km/h?.

h. How far, in kilometres, will a person travel in 5 hours at an average speed of 4 km/h?

i. How far, in kilometres, will a train travel in 4 hours at an average speed of 120 km/h?

j. How far, in kilometres, will a rocket travel in 15 minutes at an average speed of 30 000 km/h?

k. How long, in seconds, should a car take to travel 500m at an average speed of 25m/s?

l. How long, in seconds, should a person take to travel 2000m at an average speed of 4m/s?

m. How long, in seconds, should a bus take to travel 5000m at an average speed of 10m/s?

n. How long, in seconds, should a train take to travel 20 000m at an average speed of 40m/s? How long, in seconds, should a rocket take to travel 1 000 000m at an average speed of 20 000m/s?

o. Calculate the average speed (in m/s) of a car that travels 50km in 30 minutes.

p. Calculate the average speed (in km/h) of a car that travels 50km in 30 minutes.

q. How far, in metres, will a car travel in 10 minutes at an average speed of 100 km/h?

r. How far, in kilometres, will a car travel in 2 hours at an average speed of 25 m/s?

s. How long, in seconds, should a car take to travel 10km at an average speed of 100km/h?

Equations to use:

average speed = distance ( time

Source:

Thank you

|Questions |Who was the fastest? |

Athletes run races over set distances. The time they take is measured. The winner is the person who covers the distance in the shortest time. If you want to find out who was the fastest in different races, you need to calculate the speed of each athlete.

Speed is calculated using this equation:

speed = distance/time

Example

Jamie Smith ran 50 m in 6 seconds.

speed = distance/time

= 50 m/6 s

= 8.3 m/s

1 The table shows the winning times for different races. Calculate the speed for each athlete and fill in the last column.

|Athlete |Race |Time (s) |Speed (m/s) |

|Jamie Smith |  50 m |  6 |8.3 |

|Suhail Patel |1000 m |250 | |

|Jenny Baker | 400 m | 70 | |

|Rosie Kennett | 100 m | 13 | |

|Andy Groves | 200 m | 25 | |

|Sunita Parekh | 800 m |150 | |

2 Which athlete in question 1 was the fastest? _______________________________________

3 The Paralympics is a sporting event held for disabled athletes. Wheelchair races are run over different distances.

a Scott Jacobs won the 100 m wheelchair race in 20 seconds. How fast was he going?

______________________________________________________________________

______________________________________________________________________

b Sally Malin won the 200 m race in 39 seconds. How fast was she going?

______________________________________________________________________

______________________________________________________________________

c Who was the fastest, Scott or Sally?

______________________________________________________________________

[ numeracy ]

|Information Processing |Which is Fastest? |

Look at the following information then answer the questions below.

| |Train A |Train B |Train C |

|Journey |From Liverpool to London |From Leeds to London |From Ashford to London |

|Distance |240 km |200 km |60 km |

|Time taken |3 hours |2 hours |1.5 hours |

Questions

1. Which train has the highest average speed?

2. How many ways can you work out the answer to this question?

3. If train B continued at the same speed, how far would it go in 4 hours?

4. If train C continued at the same speed, how long would it take to travel 120 km?

5. Estimate how far train A would travel in 1 hour.

6. What does the speed tell us about an object? Use the words “time” and “distance” in your answer.

|True or False |How Fast is it Moving? |

Read the following passages 1 to 5. Some are true and some are false. Write ‘T’ for true or ‘F’ for false next to each.

|Jonathon runs 5 km in 30 minutes. Darren runs 9 km in 60 minutes. They have the same average speed. | |

|Reena is driving in an area where the speed limit is 50 km/h. She travels 10 km in 10 minutes. She has broken the speed limit. | |

|Jenny runs one lap of the athletics track in 4 minutes. Pete runs one lap in 3 minutes. Jenny is going faster than Pete. | |

|A car that travels 60 km in 45 minutes is going faster than a car that travels 400 m in 12 s. | |

|A train travels at an average speed of 150 km/h. It traveled faster than 150 km/h for part of the time. | |

| | |

|Source: TES HRo 2007 | |

|Information Processing |Which is Fastest? |

Look at the following information then answer the questions below.

| |Train A |Train B |Train C |

|Journey |From Liverpool to London |From Leeds to London |From Ashford to London |

|Distance |240 km |200 km |60 km |

|Time taken |3 hours |2 hours |1.5 hours |

Questions

1. Which train has the highest average speed?

2. How many ways can you work out the answer to this question?

3. If train B continued at the same speed, how far would it go in 4 hours?

4. If train C continued at the same speed, how long would it take to travel 120 km?

5. Estimate how far train A would travel in 1 hour.

6. What does the speed tell us about an object? Use the words “time” and “distance” in your answer.

|True or False |How Fast is it Moving? |

Read the following passages 1 to 5. Some are true and some are false. Write ‘T’ for true or ‘F’ for false next to each.

|Jonathon runs 5 km in 30 minutes. Darren runs 9 km in 60 minutes. They have the same average speed. | |

|Reena is driving in an area where the speed limit is 50 km/h. She travels 10 km in 10 minutes. She has broken the speed limit. | |

|Jenny runs one lap of the athletics track in 4 minutes. Pete runs one lap in 3 minutes. Jenny is going faster than Pete. | |

|A car that travels 60 km in 45 minutes is going faster than a car that travels 400 m in 12 s. | |

|A train travels at an average speed of 150 km/h. It traveled faster than 150 km/h for part of the time. | |

|Source: TES HRo 2007 | |

|Extension |Speed, Distance and Time |

You can remember the formula for speed using this triangle:

[pic]

You can convert a speed in m/s into mph by multiplying it by 2.237.

You can convert mph to m/s by dividing by 2.237.

Show all your working when answering these questions.

1 An athlete ran 26.2 miles in 180 minutes. How fast was he running? Give your answer in miles per hour.

2 Jenny ran 100 m in 20 seconds.

a What was Jenny’s speed in m/s?

b What was her speed in mph?

c How long should it take Jenny to run 5 miles? Give your answer in minutes. (Hint: 0.3 hours is not 30 minutes!)

d It actually took Jenny an hour to run 5 miles. Why was her time longer than the time you calculated in part c?

3 A car attempting to break the land speed record reached a speed of 675 mph.

a How many miles would it travel each second? (Hint: You will need to divide by the number of seconds in an hour.)

b How long would it take to travel 10 miles? Give your answer in seconds.

c How far would the car travel in 5 seconds at this speed?

4 The slowest mammal is the sloth, with an average speed of about 0.1 mph. The fastest is the cheetah, with a mean speed of 37 mph.

a What is the speed of the two animals in m/s?

b How far could the cheetah travel in 10 seconds? Give your answer in metres.

c How long would it take the sloth to travel the same distance? Give your answer in seconds.

d Approximately how many hours is your answer to part c?

[ numeracy ]

Source: TES HRo 2007

|True or False |How Fast is it Moving? |

Read the following passages 1 to 5. Some are true and some are false. Write ‘T’ for true or ‘F’ for false next to each.

|Jonathon runs 5 km in 30 minutes. Darren runs 9 km in 60 minutes. They have the same average speed. | |

|Reena is driving in an area where the speed limit is 50 km/h. She travels 10 km in 10 minutes. She has broken the speed limit. | |

|Jenny runs one lap of the athletics track in 4 minutes. Pete runs one lap in 3 minutes. Jenny is going faster than Pete. | |

|A car that travels 60 km in 45 minutes is going faster than a car that travels 400 m in 12 s. | |

|A train travels at an average speed of 150 km/h. It traveled faster than 150 km/h for part of the time. | |

|Source: TES HRo 2007 | |

|True or False |How Fast is it Moving? |

Read the following passages 1 to 5. Some are true and some are false. Write ‘T’ for true or ‘F’ for false next to each.

|Jonathon runs 5 km in 30 minutes. Darren runs 9 km in 60 minutes. They have the same average speed. | |

|Reena is driving in an area where the speed limit is 50 km/h. She travels 10 km in 10 minutes. She has broken the speed limit. | |

|Jenny runs one lap of the athletics track in 4 minutes. Pete runs one lap in 3 minutes. Jenny is going faster than Pete. | |

|A car that travels 60 km in 45 minutes is going faster than a car that travels 400 m in 12 s. | |

|A train travels at an average speed of 150 km/h. It traveled faster than 150 km/h for part of the time. | |

|Source: TES HRo 2007 | |

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Describe

The big picture – P2 Movement & position

❑ The link between Force, mass and acceleration (F = ma)

❑ Calculate the acceleration of an object from the gradient of a velocity/time graph

Predict & Apply ideas

❑ Distance/speed-time graphs of journeys etc.

❑ The relationship v = d/t

❑ The relationship a = v/t

Define

❑ Distance-time to velocity-time graphs

❑ Objects accelerating or decelerating

❑ Objects moving at constant speed

❑ Objects not moving/stationary

❑ Distance

❑ Speed

❑ Velocity

❑ Distance/speed-time graphs

❑ Acceleration

❑ Deceleration

HSW assessment & feedback

Concept 2

Distance/time graph

Learning outcomes…

B

A/A*

C

D

E

Compare & analyse

Concept 1

Average speed

Concept 3

Velocity/time graph

Do you know what speed is?

Learning time: 3 hours

Level B to 1

Level B to 1

Level B to 1

Level 2

Level 2

Level 2

1. Which vehicle was the fastest?

2. How far did the boat go?

3. How far did the motor bike go?

4. How much farther did the boat go than the tractor?

1. Which vehicle was the fastest?

2. How far did the boat go?

3. How far did the motor bike go?

4. How much farther did the boat go than the tractor?

1. Which vehicle was the fastest?

2. How far did the boat go?

3. How far did the motor bike go?

4. How much farther did the boat go than the tractor?

Level 3 -4

Level 3-4

Level 5

Apply & demonstrate

Level 7

Apply & demonstrate

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