Year 9 Science · Unit 4 · Lesson 12

Speed, Distance and Time Calculations

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Learning Goals

Order the steps

Number the steps from 1 to 6 to show the correct procedure for calculating average speed over a multi-stage journey. Write 1 next to the first step.

OrderStep
Check your answer for reasonableness — is the speed in the right range for this type of journey?
Apply the formula: average speed = total distance ÷ total time
If the answer is in km/h but you need m/s (or vice versa), convert using ÷ 3.6 or × 3.6
Add up the distances for all stages to get total distance
Identify the distance and time for each stage of the journey (including any rest stops)
Add up the time for all stages (including rest stops) to get total time

Real-world context

A cyclist rides from Sydney to Wollongong (90 km total) in three stages. Stage 1: 40 km in 80 minutes. Stage 2: a rest stop of 20 minutes (0 km). Stage 3: the final 20 km in 40 minutes. The remaining 30 km in the middle was covered in the time between Stage 1 ending and Stage 3 beginning — but no time data was recorded for that segment.

Note: For (c), use only the stages where you have both distance and time data, plus the rest stop time.

(a) Calculate the average speed for Stage 1 (40 km in 80 minutes). Give your answer in km/h. Show all working.

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(b) Calculate the average speed for Stage 3 (20 km in 40 minutes). Give your answer in km/h. Show all working.

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(c) Using the data for Stage 1 (80 min), rest stop (20 min), and Stage 3 (40 min), calculate the average speed for just these three segments: 60 km covered in 140 minutes total. Show working and convert your final answer to m/s.

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Wrap Up

In one sentence, what was the main idea of this lesson?