Make t the subject of formula S = ut + 12at2

A. 1a (-u + U2−2as−−−−−−−−√)
B. 1a {u ± (U2 - 2as)}
C. 1a {u ± 2as−−−√}
D. 1a {-u + (2as)−−−−√}

1 answer

To make t the subject of the formula S = ut + 12at^2:

1. Move the ut term to the other side by subtracting ut from both sides of the equation:
S - ut = 12at^2

2. Factor out t from the right side of the equation:
S - ut = t(12a - u)

3. Divide both sides of the equation by (12a - u) to isolate t:
t = (S - ut) / (12a - u)

After simplification, the equation becomes:
t = S / (12a - u) - u / (12a - u)

Therefore, none of the options A, B, C, or D accurately represents t as the subject of the formula S = ut + 12at^2.