Question

A point traversed half the distance with a velocity v₀. The remaining part of the distance was covered with velocity v₁ for half the time, and with velocity v₂ for the other half of the time. Find the mean velocity of the point averaged over the whole time of motion.

Answer 1

Let s be the total distance traversed by the point and t₁ the time taken to cover half the distance. Further, let 2t be the time to cover the rest half of the distance.