For any linear motion follows a straight line travels at speed does not change with time

Horizontal linear motion

For any horizontal linear motion follows a straight line that travels at speed and does not change within time

O ----------------------> O

The speed of motion is uniform speed

${\displaystyle v={\frac {s}{t}}}$

Acceleration

${\displaystyle a={\frac {v}{t}}}$

Distance

${\displaystyle s=vt}$

Force

${\displaystyle F=mav=m{\frac {v}{t}}={\frac {p}{t}}}$

Work done

${\displaystyle W=Fs=Fvt=pv}$

Energy

${\displaystyle E=F{\frac {s}{t}}=Fv=Fat=pa}$

Vertical linear motion

For any vertical linear motion follows a straight line travels at speed does not change with time for example Free fall of any object down to earth without force of air resistance

O

↓

↓

↓

↓

O

The speed of motion is uniform speed

${\displaystyle v={\frac {s}{t}}={\frac {h}{t}}}$

Acceleration

${\displaystyle a={\frac {v}{t}}={\frac {h}{t^{2}}}}$

Distance

${\displaystyle s=h}$

Force

${\displaystyle F=mg}$

Work done

${\displaystyle W=Fs=mgh}$

Energy

${\displaystyle E=F{\frac {s}{t}}=mg{\frac {h}{t}}}$

Reference

• Motion