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.

 

[nlightner]

, any help?

I would first suggest double checking the equations and variables used in the problem to ensure they are correct and accurately represent the physical scenario. It may also be helpful to provide any given values for V and g to assist in solving for t. Additionally, it may be useful to consider the constraints of the problem (e.g. is time limited? Is there a maximum height or distance the golf ball can travel?) and use those to narrow down the possible solutions for t. If further assistance is needed, consulting a physics textbook or seeking help from a physics tutor may be beneficial.