Question

How to use calculus in physics ?​

Answer 1

Step-by-step explanation:

In Physics, many quanitties are the function of other quanitities.

For instance in kinematics, where the displacement (s), position (x), velocity (v) and time (t) of a particle are related.

Suppose the position of a particle can be descirbed as a function of time, i.e.

`x=f(t)`

then since velocity is the rate of change of position, we write

`v=(d)/(dt)f(t)=f'(t)`

which is the derivative of the poisiton/ time function.

On the other hand, the displacement of the particle is the sum of position changes over time, so the displacement can be defined by

`s=\int^(t_1)_(t_0)f(t)dt`

which is the integration of postion/ time function.