Solving for t in Physics Problem: y=0

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SUMMARY

The discussion focuses on solving for time (t) in the equation y = -4Ve^(-t/4) - 4gt + 4V when y = 0, specifically in the context of a physics problem involving projectile motion. The variables defined include V as initial velocity and g as gravity. The user attempts to isolate t but concludes that additional information is necessary, particularly regarding the initial velocity, which simplifies the equation significantly when V = 0.

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Homework Statement



I put this under Pre-Calc because we're not doing Physics, we're just solving for t and don't know the algebra for it.

Solve for t

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


Homework Equations



V = Initial Velocity
g = Gravity
t = Time

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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if you don't have some extra info, it looks impossible to solve for t. But, you might have as the initial velocity v=0, which of course makes it easy to solve for t. What is the exact problem, or is what you already wrote all?
 

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