An object travels 10 km at a speed of 100 m/s and another 10 km at 50 m/s. The average speed over the whole distance is :-
Question
An object travels 10 km at a speed of 100 m/s and another 10 km at 50 m/s. The average speed over the whole distance is :-
Solution
To calculate the average speed over the whole distance, we first need to find out the total time taken for the journey.
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First, convert the distances from km to m. 10 km = 10,000 m.
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Calculate the time taken for each part of the journey. Time = Distance / Speed.
For the first part of the journey: Time = 10,000 m / 100 m/s = 100 seconds.
For the second part of the journey: Time = 10,000 m / 50 m/s = 200 seconds.
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Add the times together to get the total time. Total time = 100 s + 200 s = 300 seconds.
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The total distance travelled is 10 km + 10 km = 20 km = 20,000 m.
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Finally, calculate the average speed. Average speed = Total distance / Total time = 20,000 m / 300 s = 66.67 m/s.
So, the average speed over the whole distance is 66.67 m/s.
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