Step 1:

A particle is moving with a velocity $\"\"$

Basic formula for velocity $\"image\"$ , where $\"image\"$ is distance.

$\"\"$

$\"image\"$

if $\"image\"$ is an anti derivative of the function $\"image\"$ , then the most anti derivative of the function $\"image\"$ is $\"image\"$ .

Where $\"image\"$ is an arbitrary constant.

Since the anti derivative of $\"image\"$ is $\"image\"$ and the anti derivative of $\"image\"$ is $\"image\"$ .

$\"\"$ \ \

Step 2:

Here $\"image\"$ .

Substitute $\"image\"$ in $\"\"$

$\"\"$

Substitute $\"image\"$ value in $\"\"$ .

$\"\"$

Solution:

The position of the particle is $\"\"$