I always wondered that what is the physical interpretation of integration . How come integrating position gives as velocity? Can some one explain me what is physical insight of integration ? Ignore my poor communication skills.
Wow !! I never thought this analogy for integration . Can you please further elaborate with giving some more examples.Integrating position does not give velocity.
I think of integration as accumulation. A moving object accumulates change in position, so the integral of velocity is the total change in position.
You're best bet is to learn calculus, which is all about integration and differentiation.Can some one explain me what is physical insight of integration ?
You would need to integrate over an appropriate quantity. In this case, it would be time ∫v(t) dt = s. Integration (the definite integral) involves two things. It is the reverse of differentiation and it is calculated between limits ( start and end values) The limits are important where Physics is concerned. There is often but not necessarily the idea of an area 'under a graph' involved, which is how the idea is mostly approached when you learn about Calculus.so the integral of velocity is the total change in position.