# Flash Cards

kinemtic

## What are some simple examples of displacement and distance in physics?

What are some simple examples of displacement and distance in physics? First, we introduce the definitions of displacement and distance in physics briefly, then two examples with detailed solutions are provided for better understanding. Displacement: is a vector quantity that connects the initial and final positions of a moving object by the shortest line.  Distance: is a scalar quantity that measures the lengths of the total path covered by a moving object. Example 1:  An object moves from point A to B, C, and D finally along a rectangle.  (a) Find the magnitude and direction of the displacement vector of the object? (b) Find the distance traveled by that

Average velocity: is defined as the displacement vector divided by the total time elapsed from start to finish or in math language is defined by formula: $v_{av-x}=\frac{\Delta x}{\Delta t}=\frac{x_f-x_i}{t_f-t_i}$ Instantaneous velocity: is the limit of the average velocity as $\Delta t$ approaches zero. In one dimension, say $x$, is defined by formula $v_x=\lim_{\Delta t\to 0} \frac{\Delta x}{\Delta t}=\frac{dx}{dt}$ Instantaneous acceleration: is the limit of the average acceleration as $\Delta t$ approaches zero. In one dimension, say $x$, is defined by the followin formula $a_x=\lim_{\Delta t\to 0}\frac{\Delta v_x}{\Delta t}=\frac{dv_x}{dt}=\frac{d^2 x}{dt^2}$ \$d^{2}x/dt^2