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An athlete runs 100 m in 10 s and then another 50 m in 5 s. What is the average speed of the athlete?
10 m/s
15 m/s
5 m/s
20 m/s
10 m/s
Average speed is calculated by dividing the total distance traveled by the total time taken. For this athlete, the total distance is 100┬аm+50┬аm=150┬аm, and the total time is 10┬аs+5┬аs=15┬аs.
Average speed is calculated by dividing the total distance traveled by the total time taken. For this athlete, the total distance is 100┬аm+50┬аm=150┬аm, and the total time is 10┬аs+5┬аs=15┬аs.
Think of a road trip: even if you drive faster on a highway and slower through a town, your average speed is simply the total distance on the odometer divided by the total time spent driving.
Total Trip / Total Time (T3 Rule)
Average┬аSpeed=Total┬аTimeTotal┬аDistanceтАЛ
vavgтАЛ=t1тАЛ+t2тАЛd1тАЛ+d2тАЛтАЛ
The principle of uniform motion assumes that for varying segments of a journey, the overall efficiency is represented by the average speed. Mathematically, it is the ratio of the total path length covered to the elapsed time interval, independent of changes in instantaneous velocity.
Average speed is a scalar quantity.
It does not represent the instantaneous speed at any specific moment.
The unit for average speed in the SI system is m/s.
Provides a simple metric to compare overall journey efficiency.
Useful for calculating estimated time of arrival (ETA).
Does not account for variations or pauses during the journey.
Cannot determine the direction of motion (unlike velocity).
Calculating vehicle fuel efficiency over long distances.
Determining athlete performance in track and field events.
Total Distance = 150┬аm. Total Time = 15┬аs. Result = 150/15=10┬аm/s.
Option B is calculated by incorrectly using 150/10 or similar errors. Option C is 75/15. Option D is a miscalculation of individual segments.
A is correct тАФ The total distance of 150┬аm divided by the total duration of 15┬аs yields exactly 10┬аm/s.
Always sum total distance and total time before dividing; never average the individual speeds unless the time intervals are identical.