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Distance / time graphs. Lesson aims. To show speed as a graph. To identify graphs showing constant and changing speed. To calculate speed, distance and time at points on a graph. No movement?. distance. time. No movement. distance. time. Constant speed?. distance. time.
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Lesson aims • To show speed as a graph. • To identify graphs showing constant and changing speed. • To calculate speed, distance and time at points on a graph.
No movement? distance time
No movement distance time
Constant speed? distance time
Constant speed distance time
Constant speed How would the graph look different for a faster constant speed (walking to Science)? distance time
Constant speed fast distance time
Constant speed fast How would the graph look different for a slower constant speed (walking to any class but Science)? distance time
Constant speed fast distance slow time
Constant speed fast The gradient of the graph gives the speed distance slow time
Getting faster? (accelerating) distance time
Getting faster (accelerating) distance time
Examples distance time
A car accelerating from stop and then hitting a wall distance time
A car accelerating from stop and then hitting a wall distance time
40 30 Distance (metres) Distance (m) 20 10 Time/s 0 80 20 40 60 100 0 Time (s) • How far had the object gone after 20 seconds? • How far had the object gone after 60 seconds? • When is the object standing still? • When was the object traveling the fastest?
A man left home at 12 noon to go for a cycle ride. The travel graph represents part of the man’s journey. • For how many minutes did he rest? • 2. Find his distance from home at 1.30pm. 15 minutes 15 km
What is happening between 9AM and 11AM? 2. What do you think bicyclist is doing between 11AM and 1PM? 3. What was the total distance covered from 11AM to 4PM? Constant speed Stopped to rest 30 miles
2) Horizontal line = 4) Diagonal line downwards = • Diagonal line = 3) Steeper diagonal line = Distance-time graphs 40 30 20 10 0 Returning to start No movement Distance (metres) Time/s 20 40 60 80 100 Constant speed Faster constant speed
Work to be done today • Worksheet – distance / time graphs • Make up a distance / time graph to show a journey you could make. (It doesn’t have to be on foot). Write about what is happening at each stage of the journey.