Question

Prove geometrically
v²-u²=2as​

Answer 1

Answer:

V = U +AT

Therfore, V - U = AT …eq 1

Weknow that

S = (U + V / 2 )×T

∴ S/T = U + V / 2

∴U + V = 2×S/T

∴ U + V = 2S / T … eq2

So Substituting eq1 and eq2,

(V - U ) (V + U ) = AT ×2S/T

∴V² - U² = 2AS.