Question

show that the equation a)Vf = Vi+at b) S=vit+1/2at2 are dimentionally correct​

Answer 1

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


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