The course provides a foundational overview of rectilinear motion, focusing on the mathematical and graphical definitions of key kinematic variables. It establishes that motion is rectilinear when an object's trajectory is a straight line, defining the mobile’s position as a function of time, x(t), which is referred to as the temporal equation of motion. We will able also to distinguish between average velocity and instantaneous velocity, defining the latter using a calculus notation as the derivative of position with respect to time V = dx/dt and explaining its graphical determination via the slope of the tangent to the space diagram. Furthermore, the course systematically will define both average acceleration and instantaneous acceleration a = dV/dt, also explaining the graphical method for finding acceleration from the velocity diagram. Finally, it uses integral calculus to relate displacement to the area under the velocity-time graph, and velocity to the area under the acceleration-time graph.
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