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Speed Distance and Time. What is to be learned. How to calculate average speed, given the time taken and distance travelled in a journey Correct units for speed How to cope with converting hours and minutes into decimals. Calculating Speed. A car travels at 50 mph
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What is to be learned • How to calculate average speed, given the time taken and distance travelled in a journey • Correct units for speed • How to cope with converting hours and minutes into decimals
Calculating Speed A car travels at 50 mph Would travel 50 miles in one hour going at same speed
Speed of car that travels 120 miles in 3 hours? Speed = 120 ÷ 3 = 40 mph Average Speed = Distance ÷ Time
Calculating Speed Average Speed = Distance ÷ Time Written as S = D/T
Percy drives 240 km in 4 hours S = D/T = 240/4 = 60 km per hour
Units Always dist unit per time unit milesper hour metres per second cm per day mm per month!
Danger Beware time difficulties 2 hours 30 mins = 2.30 2 ½ hours = 2.5 There are not 100 minutes in an hour!
Time difficulties! Remember ½ = 0.5 ¼ = 0.25 ¾ = 0.75 S0 5 hours 15 mins = 5 ¼ hours = 5.25 hours (for calculator) 4 hours 45 mins = 4 ¾ hours = 4.75 hours
Barney’s bus takes 2 ½ hours to travel 75 miles. What is his average speed? S = D/T = 75/2.5 = 30 mph
Calculating Speed Average Speed = Distance ÷ Time S = D/T Beware time difficulties! Remember ½ = 0.5 ¼ = 0.25 ¾ = 0.75 S0 3 hours 15 mins = 3 ¼ hours = 3.25 hours (for calculator)
Train leaves Glasgow at 6:10 and arrives at Oban at 7:55. The journey is 95 miles. Average speed? S = D/T Time? 1hour 45 mins = 1 ¾ hours = 1.75 hours so S = 95/1.75 = 54.3 mph