Question

Make T subject of the formula
S=ut+ 1/2 at^2

Answer 1

Answer:

s= ut+1/2at^2

or,

t^2 + 2u/a t - s/a = 0

By Quadratic formula,

t = -(u/a) +- sqrt((u^2/4a^2+4s/a))

Answer 2

To Find :-

• How can I make t the subject in S=ut+1/2at^2?

Answer:

• Set the problem as a quadratic equation:

• [math]s = ut + (1/2)at^2[/math]

• [math]ut + (1/2)at^2 -s = 0[/math]

• [math]\frac {at^2}{2} + ut -s = 0[/math]

• [math]\frac {a}{2}t^2 + ut -s = 0[/math]

let a = [math]\frac {a}{2}[/math], b = u, and c = -s

t = [math]\frac {-b \pm \sqrt{b^2 - (4\cdot a\cdot c)}}{(2\cdot a)}[/math]

t = [math]\frac {-u \pm \sqrt{u^2 - (4\cdot \frac {a}{2}\cdot -s)}}{(2\cdot \frac {a}{2})}[/math]

t = [math]\frac {-u \pm \sqrt{u^2 + 2\cdot a\cdot s}}{a}[/math]

Hope it helps!