Find t: Solving a Physics Problem with y = 0

[lespommes]

1. Homework Statement

Solve for t

y = -4Ve^(-t/4) - 4gt + 4V


2. Homework Equations

V = Initial Velocity
g = Gravity
t = Time

3. The Attempt at a Solution

y = 0 (Physics problem, hitting a golfball and solving for t when y = 0)

-4V = -4Ve^(-t/4) - 4gt
V = Ve^(-t/4) + gt
1 = e^(-t/4) + gt/V
0 = -t/4 + ln(gt/V)

Couldn't get further

 

[Redbelly98]

3. The Attempt at a Solution

y = 0 (Physics problem, hitting a golfball and solving for t when y = 0)

-4V = -4Ve^(-t/4) - 4gt
V = Ve^(-t/4) + gt
1 = e^(-t/4) + gt/V

Looks good up to here.

0 = -t/4 + ln(gt/V)

Sorry, no, logarithms don't work that way:

log(A+B) ≠ log(A) + log(B)​

The equation

1 = e^(-t/4) + gt/V​

can't be solved analytically, and will require a numerical solution. And that would require a value for V; were you given one?

p.s. welcome to PF.