Question

(C) Derive S=ut+-ať by the following graph by completing the graph :(02) S=utt at Velocity time ​

Answer 1

Explanation:

Set the problem as a quadratic equation:

s=ut+(1/2)at2

ut+(1/2)at2−s=0

at22+ut−s=0

a2t2+ut−s=0

let a = a2 , b = u, and c = -s

t = −b±b2−(4⋅a⋅c)√(2⋅a)

t = −u±u2−(4⋅a2⋅−s)√(2⋅a2)

t = −u±u2+2⋅a⋅s√a