Can you Rearrange the Equation?

Question

Rearrange for t

s=ut+1/2at^2

Thanks

Answer 1

s=ut+1/2at^2

ut=1/2at^2-s

t=1/2at^2-s (all divided by u)

at(squared)t=1/^2-s (divided by u)

t(squared)=1/^2-s (divided by au)

i think thats right but im a bit rusty, ive done no school work over the holidays so far!!!

Answer 2

Well, the solution for t depends on your other variables.

s ut + 0.5At²

The function for t is a quadratic one; meaning its solutions are given by this.

t = -b ± √(b² - 4ac) / 2a

from the equation; at² + bt + c = 0

So, putting your equation in this form gives

0.5At² + ut - s = 0

so; a = 0.5A,b = u, c = -s

therefore...

t = -u ± √(u² + 2As) / A

since time is measured as a positive amount that is your solution....

Answer 3

s=ut+0.5at^2

0.5at^2+ut-s=0

the equation is in the form ax^2+bx+c=0

a=(0.5a)

x=t

b=u

c=-s

so for finding roots of equation of this form

x= (-b+(square root of (b^2-4*a*c)))/(2a)

or

x=(-b-(square root of (b^2-4*a*c)))/(2a)

here

t=(-u+(square root of (u^2-4*(0.5a)*(-s))))/(2*0.5*a)

or

(-u+(square root of (u^2-4*0.5a*(-s)))/(2*0.5*a)