#formula

Basic Kinematic Quantities Quantity Formula Key Point Displacement \(\displaystyle\Delta x=x_f-x_i\) Shortest directed distance Average Velocity \(\displaystyle\frac{\text{Displacement}}{\text{Time}}\) Depends on displacement Average Speed \(\displaystyle\frac{\text{Total Distance}}{\text{Total Time}}\) Depends on actual path Instantaneous Velocity \(\displaystyle v=\frac{dx}{dt}\) Velocity at an instant Acceleration \(\displaystyle a=\frac{dv}{dt}\) Rate of change of velocity Variable acceleration \(\displaystyle a=v\frac{dv}{dx}\) Useful when acceleration depends on distance 2. … Read more