Physics Course/Linear Motion

Linear Motion

Linear Motion referes to any motion moving in a straight line without changing it's direction

Linear Motion with constant speed over time

Any Linear Motion that has constant speed at all time can be expressed as

• Speed

$v(t)=V$

• Acceleration

$a(t)=0$

• Distance

$s(t)=Vt$

Linear Motion with changing speed over time

For any Linear Motion travels at different speed at different time

v₁ at t₁

v at t

• Change in Speed

$\mathrm{\Delta }v=v-v_o$

• Change in Time

∆t = $t-t_o$

The ratio of Change in Speed over Change in Time gives the Accelerarion of the motion or The Rate of Change of Velocity versus Time

• Rate of Change of Speed over Time

$a=\frac{\mathrm{\Delta }v}{\mathrm{\Delta }t}=\frac{v-v_o}{t-t_o}$

$\mathrm{\Delta }v=a\mathrm{\Delta }t$

$\mathrm{\Delta }v=a(t-t_o)$

$v=v_o+a(t-t_o)$

$v=v_o+a\mathrm{\Delta }t$

$v=v_o+\mathrm{\Delta }v$

$s=v_o\mathrm{\Delta }t+\frac{1}{2}\mathrm{\Delta }v\mathrm{\Delta }t$

$s=\mathrm{\Delta }t[v_o+\frac{1}{2}\mathrm{\Delta }v]$