Make t the subject of formula S = ut + 1/2at2

Question

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

Answer 1

To make t the subject of the formula S = ut + 1/2at^2, we need to isolate t on one side of the equation.

First, let's subtract ut from both sides of the equation to get rid of it on the right side:

S - ut = (1/2)at^2

Next, let's multiply both sides of the equation by 2 to get rid of the fraction:

2(S - ut) = at^2

Expanding the bracket on the left side:

2S - 2ut = at^2

Now, let's rearrange the equation to solve for t:

2ut = 2S - at^2

Divide both sides of the equation by 2u:

t = (2S - at^2) / (2u)

This can also be written as:

t = (S - (1/2)at^2) / u

Therefore, the correct answer is option A: 1a (-u + U2−2as−−−−−−−−√)