All Problems

Kinematics

Problem 1.2

A point traversed half the distance with a velocity \(v_{0}\). The remaining part of the distance was covered with velocity \(v_{1}\) for half the time, and with velocity \(v_{2}\) for the other half of the time. Find the mean velocity of the point averaged over the whole time of motion.

Reveal Answer
v=2v0(v1+v2)/(2v0+v1+v2)\langle v\rangle=2 v_{0}\left(v_{1}+v_{2}\right) /\left(2 v_{0}+v_{1}+v_{2}\right)