Let's discuss a beautiful problem from Physics Olympiad based on Velocity and Acceleration.
The Problem: Velocity and Acceleration
A particle is moving in positive x-direction with its velocity varying as v= α√x. Assume that at t=0, the particle was located at x=0. Determine the
Discussion:
v=α√x.
Squaring both sides
v2=α2x
=2(α2/2)x
Acceleration= α2/2
The initial velocity u is therefore zero and the acceleration is constant.
Average velocity=(0+v)/2=α√s/2
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