Speed, distance & time (M6)
Speed, distance & time (M6)
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Calculating speed
Example
Find the average speed of an athlete who runs 100m in 20s.
Average speed = Distance
Time
Average speed = 100 m = 5 m/s
20 s
Practice
1) Find the average speed of a train which covers 130 miles in 2 hours.
2) Find the average speed of a runner who runs 12 km in 3 hours.
3) A car travels 160 miles in 4 hours. What is its average speed in mph?
4) Find the average speed of a runner who covers 200 metres in 45 seconds.
Harder Example
Find the average speed in km/h of a delivery driver who travelled 45 km in 30 minutes.
Average speed = Distance
Time
We want the answer to be in km/h so we need the time to be in hours. 30 minutes is 30/60 which is 0.5 of an hour
Average speed = 45 km = 90 km/h
0.5 h
Practice
1. A motorbike travels 20 miles in 30 minutes. Calculate its average speed in miles per hour.
2. A car travels 10 miles in 15 minutes. What is its average speed in km/h?
3. A tractor travels 5 miles in 40 minutes. Calculate its average speed in mph.
4. A car travels 120km in 96 minutes. What is the average speed in km/h?
5. A motorist leaves Derby at 10:55 and arrives in Leicester 1 ¼ hours later. The distance from Leicester to Derby is 50 miles.
a) At what time did he arrive in Leicester?
b) What was his average speed in mph?
Mass, Density & Volume
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Example
Calculate the density of a metal of mass 450gm and volume 40cm3
Density = Mass ÷ Volume
Density = 450gm ÷ 40 cm3
Density = 11.25 g/ cm3
Practice
1) Calculate the density of a block of wood of mass 750 g and volume 80 cm3
2) Calculate the density of a block of plastic of mass 400g and volume 100 cm3
3) Another block of plastic with volume 25 cm3 has a density of 0.6 g/cm3. What is its mass?
4) A rubber ball has volume 35 cm3 has a density of 0.8 g/cm3. What is its mass?
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