※ 引述《Merlinsbeard (merlinsbeard)》之銘言：
: https://i.imgur.com/MfYp1oT.jpg
: 最後一個不知道該怎麼證
: 跪求大家幫忙，謝謝
題目少講了起始t = 0
dv/dt = a
=> v - v_0 = a(t - 0) -----(1)
v = dx/dt
dx/dt = v_0 + at
=> x - x_0 = v_0t + (1/2)at^2 ----------(2)
=> (x - x_0)/t = v_0 + (1/2)(v - v_0)
= (1/2)(v_0 + v)
=> x - x_0 = (1/2)(v_0 + v)t --------(4)
a = dv/dt = dx/dt dv/dx
= vdv/dx = (d/dx)[(1/2)v^2]
=> v^2 - v_0^2 = 2a(x - x_0) ---------(3)
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