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3.4 Time, Distance and Speed
Mathematics · Grade 9 · 10 lessons in the design
What this covers
- Speed in km/h and m/s
- Average speed
- Acceleration
- Longitudes and local time
What you will be able to do
- work out speed in km/h and m/s in real-life situations
- work out average speed in real-life situations
- determine velocity in real-life situations
- work out acceleration in real-life situations
- identify the longitudes on the globe
- relate longitudes to time on the globe
- determine the local time of places on the earth along different longitudes
- appreciate the use of time and distance in real-life situations
Key questions
“How do we observe speed in daily activities?”
“Why does time vary in different places of the world?”
Lessons
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Speed: distance divided by time
40 min · 1 practice tasks · quizSpeed is not measured directly. It is what a distance becomes when you divide it by the time it took.
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Speed in km/h and in m/s
40 min · 1 practice tasks · quizOne number, 3.6, converts a speed either way between kilometres per hour and metres per second.
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Finding the distance or the time
40 min · 1 practice tasks · quizThe same relationship rearranges to give distance from speed and time, or time from distance and speed.
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Average speed
40 min · 1 practice tasks · quizAdd all the distance, add all the time, then divide once. Never average the leg speeds.
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Velocity: speed with a direction
40 min · 1 practice tasks · quizTwo vehicles can share a speed and still have different velocities, because velocity carries a direction.
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Acceleration
40 min · 1 practice tasks · quizAcceleration is the change of velocity in each second, and a negative answer means slowing down.
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Measuring speed at a track event
40 min · 1 practice tasks · quizTake the class outside and measure distance, time, speed and acceleration on a real run.
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Longitudes on the globe
40 min · 1 practice tasks · quizMeridians run from pole to pole, and Greenwich is the zero from which the rest are counted east and west.
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Fifteen degrees to the hour
40 min · 1 practice tasks · quizThe earth turns 360 degrees in 24 hours, so each 15 degrees of longitude is one hour of time.
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Working out the local time of a place
40 min · 1 practice tasks · quizFind the longitude difference, divide by 15, then add going east or subtract going west.