can you write a expression for t= for the expression (u/((sqrt2)t))-((1/2)gt^2)?
The expression for t can be derived as follows:
u/((sqrt2)t) - (1/2)gt^2 = 0
Rearranging the equation, we have:
(u/((sqrt2)t)) = (1/2)gt^2
Multiplying both sides by ((sqrt2)t), we get:
u = (1/2)g((sqrt2)t^3)
Finally, isolating t, we divide both sides by (1/2)g((sqrt2)):
t^3 = (2u)/(g(sqrt2))
Taking the cube root of both sides:
t = ((2u)/(g(sqrt2)))^(1/3)
Therefore, the expression for t is:
t = ((2u)/(g(sqrt2)))^(1/3)