Question

How to find the area under acceleration-displacement curve ?

Answer 1

Acceleration versus displacement graph gives us the information as to how the acceleration (and hence, force) changes with displacement. In other words, we can find force as function of position. Then, by the formula ,Work=integral F.dx, we can find the work done by the force and using work kinetic energy theorem, ( or law of conservation of mechanical energy )we can find kinetic energy of the particle.we can find potential energy of the particle also if the force is purely conservative . Or, area under the graph of acceleration versus displacement when multiplied by mass of the particle gives work done