Derive v2=vo2+2ax using v-t graph
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To derive this, you need to eliminate time from the given equations. Start with
vf = vi + at ⇒ t = (vf - vi)/a
Plug this expression for t into
d = vit + at2/2
and get
d = vi(vf - vi)/a + a[(vf - vi)/a]2/2
Multiply both sides by 2a and get
2ad = 2vivf - 2vi2 + (vf2 - 2vivf + vi2)]
2ad = vf2 - vi2
vf2 = vi2 + 2ad
Explanation:
Kashuuu~
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