Solve for v in terms of s, t, v. u=-tsv

Suppose an object starts moving at u and gains an acceleration of a. After time t, it gets a speed v after travelling a distance of s.

a = (v - u) / t => v - u = at

v = u + at

s = ut + 1/2(v - u) t

s = ut + 1/2 (at) t

s = ut + 1/2 at2

s = ut + 1/2 at2

v2 = (u + at)2

v2 =u2 + 2uat + a2t2

v2 = u2 + 2a (ut + 1/2 at2)

v2 = u2 + 2as

v2 = u2 + 2as