Provide detailed instructions along

with numerical example on how to find the forward kinematics of a three wheeled robot with differential drive mechanism

Donot use matrix system use the eqaution

A differentially steered three$-$wheeled robot Kinematics

$x^{}(t)=V(t)Cos((t))$

$y^{}(t)=V(t)Sin((t))$

${}^{}(t)=w(t)$

$x(t)$ and $y(t)$ denote the position of the vehicle.

The angle $$ is the orientation of the robot with respect to the $x-$axis. $V(t)$ is the linear velocity of the robot.

$(t)$ is the angular speed.