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

Δv = 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

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

Δv = aΔt

Δv = a(t − t_o)

v = v_o + a(t − t_o)

v = v_o + aΔt

v = v_o + Δv

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

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