A classical mechanics problem by Anand Badgujar
A point travels half the distance with a velocity 5m/s .The remaining part of the distance was covered with velocity 10m/s for half the time ,and with velocity 15m/s for the other half of the time . Find the mean velocity (to 3 decimal places) of the point averaged over the whole time of motion.
The answer is 7.142.
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1 solution
For finding the total average velocity we will find the average velocity of 2nd part in that part time is equal so average velocity will be (10m/s+15m/s)÷2 so it will be 12.5m/s and the first velocity is 5m/s and in that part distance is equal so it will be (2×12.5×5)÷(12.5+5)=7.14285714=7.142