Physics Course/Linear Motion

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Linear MotionEdit

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

Linear Motion with constant speed over timeEdit

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) = V t

Linear Motion with changing speed over timeEdit

For any Linear Motion travels at different speed at different time

v1 at t1
v at t
  • Change in Speed
\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{\Delta v}{\Delta t} = \frac{v - v_o}{t - t_o}

\Delta v = a \Delta t
\Delta v = a (t - t_o)
v = v_o + a (t - t_o)
v = v_o + a \Delta t
v = v_o + \Delta v
s = v_o \Delta t + \frac{1}{2} \Delta v \Delta t
s = \Delta t [v_o  + \frac{1}{2} \Delta v ]