Question

s=vt+1/2at^2 Vt^2－V0^2=2as 这两条公式怎么推导出来的

Answer 1

∵v=v0+at

∴S = (v0+v)/2*t

= (v0+v0+at)/2*t

= (2v0+at)/2*t

= v0t+1/2at^2

∵v=v0+at

∴t=(v-v0)/a

∴S = (v0+v)/2*t

= (v0+v)/2*(v-v0)/a

= (v+v0)(v-v0)/(2a)

= (v^2-v0^2)/(2a)

∴v^2-v0^2 = 2aS