How 9 Cheenta students ranked in top 100 in ISI and CMI Entrances?
Learn More

Velocity and Acceleration

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

  • the time dependence of velocity
  • acceleration
  • the mean velocity of the particle averaged over the time that the particle takes to cover the first s metres of the path.



Squaring both sides



Acceleration= α2/2

The initial velocity u is therefore zero and the acceleration is constant.

  • v=u+at= (α2/2)t
  • The acceleration= α2/2
  • V=α√s

Average velocity=(0+v)/2=α√s/2

Knowledge Partner

Cheenta is a knowledge partner of Aditya Birla Education Academy

Cheenta Academy

Aditya Birla Education Academy

Aditya Birla Education Academy

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.