$\"\"$

Displacement of the particle is $\"\"$ , velocity function $\"\"$ and acceleration function $\"\"$ .

Velocity is the rate of change of displacement that is $\"\"$ .

Acceleration is the rate of change of velocity and it is given by $\"\"$ .

$\"\"$ is the rate of change of velocity with respect to displacement.

$\"\"$

We have, Velocity of the function is $\"\"$ .

$\"\"$ .

$\"\"$ is the rate of change of velocity with respect to time.

$\"\"$ is the rate of change of velocity with respect to displacement.

$\"\"$ .

$\"\"$ is the rate of change of velocity with respect to time.

$\"\"$ is the rate of change of velocity with respect to displacement.