# Fundamental Physics/Motion/Linear motion

## Definition

Linear motion represents motion of any object follows a straight line path without changing it's direction . For examples, Horizontal linear motion , Vertically linear motion , Inclined linear motion

## Horizontal linear motion

Horizontal linear motion represents any motion that travels in straight line horizontally. The chracteristics of Horizontal linear motion are listed in the table below

 Distance ${\displaystyle s}$ ${\displaystyle s}$ Time ${\displaystyle t}$ ${\displaystyle t}$ Speed ${\displaystyle v}$ ${\displaystyle {\frac {s}{t}}}$ Acceleration ${\displaystyle a}$ ${\displaystyle {\frac {v}{t}}}$ Force ${\displaystyle F}$ ${\displaystyle ma}$ Work ${\displaystyle W}$ ${\displaystyle Fs}$ Energy ${\displaystyle E}$ ${\displaystyle F{\frac {s}{t}}}$

## Vertical linear motion

Vertical linear motion represents any motion that travels in straight line vertically . The chracteristics of Vertical linear motion are listed in the table below

 Distance ${\displaystyle s}$ ${\displaystyle h}$ Time ${\displaystyle t}$ ${\displaystyle t}$ Speed ${\displaystyle v}$ ${\displaystyle {\frac {h}{t}}}$ Acceleration ${\displaystyle a}$ ${\displaystyle {\frac {h}{t^{2}}}}$ Force ${\displaystyle F}$ ${\displaystyle mg}$ Work ${\displaystyle W}$ ${\displaystyle mgh}$ Energy ${\displaystyle E}$ ${\displaystyle mg{\frac {h}{t}}}$

## Inclined linear motion

Inclined linear motion represents any motion that travels in straight line at an inclined angle . The chracteristics of Inclined linear motion are listed in the table below

 Speed of motion ${\displaystyle v}$ ${\displaystyle v=v_{o}+at}$ Time ${\displaystyle t}$ ${\displaystyle t}$ Acceleration ${\displaystyle a}$ ${\displaystyle a={\frac {\Delta v}{\Delta t}}}$ Distance ${\displaystyle s}$ ${\displaystyle s=(v_{o}+at)t}$ Force ${\displaystyle F}$ ${\displaystyle F=m{\frac {\Delta v}{\Delta t}}}$ Work done ${\displaystyle W}$ ${\displaystyle W=Ft(v_{o}+at)}$ Energy ${\displaystyle E}$ ${\displaystyle E=F(v_{o}+at)}$