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Question 6
A plane travels at a speed of 213 miles per hour. (a) Work out an estimate for the number of seconds the plane takes to travel 1 mile. (b) Is your answer to part (... show full transcript
Step 1
Answer
To find the time taken to travel 1 mile at a speed of 213 miles per hour, we can use the formula:
Substituting the values for Distance and Speed:
To convert the speed from miles per hour to miles per second, we can divide by 3600 (the number of seconds in one hour):
Calculating the time:
Thus, the time taken to travel 1 mile is approximately 17 seconds.
Step 2
Answer
The answer from part (a) is an underestimate.
This is because the average speed of 213 miles per hour does not account for factors such as acceleration or deceleration during flight. Hence, in practice, the actual time taken might be slightly longer due to these conditions. Additionally, using estimates often rounds down, leading to a shorter calculated time.
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