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  1. Define position, displacement, and distance traveled. Calculate the total displacement given the position as a function of time. Determine the total distance traveled. Calculate the average velocity given the displacement and elapsed time.

  2. Average Velocity is defined as the total displacement travelled by the body in time t. The average velocity is denoted by V av and can be determined using the following formula: \(\begin{array}{l}Average\,Velocity = \frac{Total\,Displacement}{Total\,Time}\end{array} \)

  3. Although speed and velocity are often words used interchangeably, in physics, they are distinct concepts. Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt.

  4. Jul 20, 2022 · For any time interval, the quantity \(\left(v\left(t_{i}\right)+v\left(t_{f}\right)\right) / 2\), is the arithmetic mean of the initial velocity and the final velocity (but unfortunately is also sometimes referred to as the average velocity).

  5. Formula for Average Velocity: Average velocity \((V_{avg})\) is calculated by dividing total displacement \((\Delta x)\) by the total time taken \((\Delta t)\). This is expressed as \(V_{avg} = \frac{\Delta x}{\Delta t}\).

  6. Define position, displacement, and distance traveled. Calculate the total displacement given the position as a function of time. Determine the total distance traveled. Calculate the average velocity given the displacement and elapsed time.

  7. Explain the relationships between instantaneous velocity, average velocity, instantaneous speed, average speed, displacement, and time. Calculate velocity and speed given initial position, initial time, final position, and final time.