This pdf includes the following topics:- Learning Objective Speed Construct Your Aeroplane Equipment Instructions Calculating Speed
1. Unit Pricing and and Time
2. Learning Objective To collect data and calculate speed. Success Criteria • To accurately measure and record time in seconds. • To accurately measure and record distances in metres. • To evaluate speed using primary data.
3. Speed What units do we use to measure speed? m/s mph km/h metres per second miles per hour kilometres per hour How do we measure speed? How do we calculate speed? What measurements do we need to calculate speed? Discuss these questions with your partner.
4. Construct Your Aeroplane Step 1 Step 2 Fold the paper in Unfold and then half to form a fold the corners crease and then into the centre unfold the paper. line. Step 5 Step 3 Step 4 Create a wing Fold the top Fold the crease that begins edges to the plane in half. at the nose centre.
5. Equipment Remember to take a stopwatch, a tape measure, a pen and your maths book with you.
6. Instructions 1. Locate a start position and put your book on the floor to mark it. 2. One person has the timer ready while the other person stands at the start position with the paper aeroplane. 3. The person with the timer counts backwards from 3. On ‘1’, start the timer and throw the paper aeroplane. 4. Stop the timer when the aeroplane lands. Using the tape measure, measure the distance from the start position to the nose of the aeroplane. Even if the aeroplane is facing backwards or sideways, you will still need to measure to the nose so the results remain consistent. 5. Record the time (in seconds) and the distance (in metres) in Flight 1 of the table. 6. Repeat steps 1-5 until every person in the group has flown their paper aeroplane. 7. Once everyone has flown their paper aeroplane, you are ready to start again with Flight 2. 8. Repeat as many times as you can in the time allocated.
7. Results Record your flights in the table below. You will need to work with a partner or in a group of three. Remember to only fly your aeroplane when it is your turn. Flight Number Time in Seconds Distance in Metres Speed in m/s 1 2 3 4 5 6 7 8 9 10
8. Calculating Speed To calculate speed, divide the distance travelled by the time taken. The formula triangle can be used to help you remember how to calculate speed, distance or time. Cover up what you want to find (in this Distance case, the speed). The remaining parts show you how to calculate it. distance Speed Time speed = time If your aeroplane travelled a distance of 3m and it took 6 seconds for the flight then the speed is calculated by: = 0.5m/s
9. Calculating Distance Use the formula triangle to help. Cover up what you want to find Distance (in this case, the distance). The parts that are left show you how to calculate it. Speed Time Distance = Speed × Time 50mph for 3 hours. Calculate the distance. 50 × 3 = 150 miles
10. Calculating Speed Cover up speed. The parts that are left show you how to calculate it. Distance Speed = Distance Time To calculate the average speed of a journey, you divide the distance travelled by the time taken. Speed Time 2 hours to cover a distance of 5.8km. Calculate the speed. 2 = 2.9km/h
11. Calculating Time Cover up time. The parts that are left show you how to calculate it. Distance Time = Distance Speed Speed Time 100m travelled at a constant speed of 6.25m/s. Calculate the time taken. = 16 seconds
12. Your Turn - Section 1 Calculate the distance travelled in each journey: a. 3 hours at 40mph d. 5.25 hours at 50km/h Distance = Distance = Distance = miles Distance = km b. 55km/h for 3.5 hours e. 30mph for 20 minutes Distance = Distance = Distance = km Distance = miles c. 4 seconds at 3m/s Distance = Distance = m
13. Your Turn - Section 1 Calculate the distance travelled in each journey: a. 3 hours at 40mph d. 5.25 hours at 50km/h Distance = 3 × 40 Distance = 5.25 × 50 Distance = 120 miles Distance = 262.5km b. 55km/h for 3.5 hours e. 30mph for 20 minutes Distance = 55 × 3.5 Distance = 30 × 20 60 Distance = 192.5km Distance = 10 miles c. 4 seconds at 3m/s Distance = 4 × 3 Distance = 12m
14. Your Turn - Section 2 Calculate the average speed of each journey: a. 150 miles in 5 hours d. 87.5 miles in 3.5 hours Speed = Speed = Speed = mph Speed = mph b. 120 km in 3 hours e. 9km in 45 minutes Speed = Speed = Speed = km/h Speed = km/h c. 20m in 4 seconds Speed = Speed = m/s
15. Your Turn - Section 2 Calculate the average speed of each journey: a. 150 miles in 5 hours d. 87.5 miles in 3.5 hours 150 87.5 Speed = Speed = 5 3.5 Speed = 30mph Speed = 25mph b. 120 km in 3 hours e. 9km in 45 minutes 120 9 Speed = Speed = 9 ÷ 3 45 Speed = 40km/h Speed = 12km/h c. 20m in 4 seconds 20 Speed = 4 Speed = 5m/s
16. Your Turn Calculate the speed of each of your paper aeroplane flights. Round your answers to one decimal place where necessary. distance speed = time
17. Summary Write a short summary about your flights and how you could improve the speed of your aeroplane. Consider the following questions. What was your quickest flight? What was your slowest flight? What was the mean average speed of your flights? How could you make your plane more aerodynamic? Were there any problems when flying your aeroplane? How could you overcome these?
18. Tortoise and Hare Who had the quickest flight in the class? Who had the slowest flight in the class? Both of those students can now share their summary with the class.