Rectilinear motion is a type of motion in which an object moves along a straight path. This means that the object's velocity and position change only along a single axis, typically the x-axis.
The velocity of an object in rectilinear motion can be found by calculating the object's average velocity over a specific time interval. This can be done by dividing the change in position over that time interval by the time it took to make that change.
The position of an object in rectilinear motion can be found by integrating the object's velocity function over a specific time interval. This will give you the object's change in position over that time interval.
Average velocity is the total displacement divided by the total time, while instantaneous velocity is the velocity of an object at a specific moment in time. Instantaneous velocity can be found by taking the derivative of the position function at that specific time.
To solve for both velocity and position in rectilinear motion, you will need to use calculus. First, find the object's velocity function by taking the derivative of its position function. Then, integrate the velocity function to find the object's position function. From there, you can use these functions to find the object's velocity and position at any given time.