A car travels at an average speed of 74.5 km/h for 2.25 hours.
- (a)
Convert 75 km/h to m/s.
Answer ... m/s
- (b)
By rounding the numbers correct to 1 significant figure, find an estimate of the distance travelled by the car. Show your working clearly.
Answer ... km
- (c)
Without doing any calculation, explain why the actual distance travelled by the car is greater than the answer to (b).
Answer
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Worked solution
7(a)
1. Use the conversion factors for kilometres and hours.
2. Calculate the speed in metres per second.
7(b)
1. Round the speed and time to 1 significant figure.
2. Estimate the distance using distance equals speed multiplied by time.
Estimated distance
7(c)
1. Explain how the rounding affected the estimate.
In part (b), was rounded down to and was rounded down to . Since distance speed time, using smaller values gives a smaller distance than the actual distance.
The speed was rounded down to and the time was rounded down to , so the estimated distance is less than the actual distance.
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