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Legend

= distance

= time

= speed/
velocity

Vav

= average
speed

l

= change in
distance

t

= change in
time
v = Change in velocity

Vf

= final velocity

Vi

= initial velocity

ti

= initial time

tf

= final time

aav

= average acceleration

d

= distance

 

加速度

加速度是每秒速度的變化比例•

加速度 =

速度變化
時間

Formula

如果 ti = 0, 那麼 tf 便是整趟的時間我們簡單的寫成 t.   所以以上的公試成為:

a =

Formula

由以上的公試,又可以得到:

Vf - Vi =  at

 

Equal time intervals, but distance increases between time intervals

以上是以平衡加速度和同時變化照下的•

 

以平衡加速度跑步和平衡速度跑步在同樣時間跑的位置一樣•所以我們的到以下公試: How the equation comes about

Vav = 1/2 (Vi + Vf)

 

Hence, we arrive to the equation of:

d =  Vit + Vavt

d = Vit + 1/2 (Vi + Vf)t

Substitute in the equation we derived before:

Vf - Vi =  at

最後得到:

d = Vit + 1/2 at2

Previous Lesson Velocity/Speed

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