# Solve for t

#### 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

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#### Redbelly98

Staff Emeritus
Science Advisor
Homework Helper
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.

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