How to Solve Problems Involving Time Dependent Acceleration | Physics

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How to solve problems involving time dependent acceleration

Class : 11

Here i tried to sum up the steps to solve problems involving time dependent acceleration. We can easily calculate the position of the particle/object

1. Consider that acceleration a is some function of time such that

this equation can also be written in terms of velocity i.e.

 …..1

2. Now we integrate equation 1 as a function of time

 ……2

here C is some constant of integration and can be calculated from the initial conditions.

3. Now we know that  , using this in the solution of equation 2 we can easily find position of the particle.