Solving for t in Physics Problem: y=0

  • Thread starter lespommes
  • Start date
  • Tags
    Physics
In summary, the problem is to solve for t in the equation y = -4Ve^(-t/4) - 4gt + 4V, where V is the initial velocity, g is gravity, and t is time. The attempt at a solution involved setting y = 0 and manipulating the equation to get to t = -4ln(gt/V). However, without additional information, it seems impossible to solve for t. It is suggested that if V = 0, the problem becomes much easier to solve.
  • #1
lespommes
2
0

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
 
Physics news on Phys.org
  • #2
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?
 
  • #3
than this, since there are two variables (t and g) and not enough information provided, such as the value of V or the specific situation in which the golf ball is being hit. More information is needed to solve for t in this problem. Additionally, this problem is not just a simple algebraic equation, as it involves the concepts of velocity, gravity, and time in a physical context. It is important to understand the underlying principles and equations in order to solve it accurately.
 

Related to Solving for t in Physics Problem: y=0

What is the meaning of "solving for t" in physics problem?

In physics, solving for t refers to finding the value of time (represented by t) in a given equation or problem. Time is a crucial variable in many physics equations, and solving for t allows us to determine when a certain event will occur or how long a process will take.

Why is it important to solve for t in physics problems?

Solving for t allows us to understand the behavior of physical systems over time. It helps us predict and analyze the motion, changes, and interactions of objects in the real world. In many cases, solving for t is the key to understanding and explaining the physical phenomena that we observe.

What are the common methods for solving for t in physics problems?

The most common method for solving for t in physics problems is using algebraic techniques such as substitution, elimination, and rearrangement of equations. Another method is graphical analysis, where the value of t is determined by finding the intersection of two or more curves on a graph. In more complex problems, numerical methods such as calculus or computer simulations may be used.

What are the units of measurement for t in physics problems?

The units of measurement for t in physics problems depend on the specific problem and the units used for other variables. In general, time can be measured in seconds (s), minutes (min), hours (h), days (d), etc. It is essential to pay attention to units when solving for t to ensure that the final answer is in the correct units.

What are some common mistakes to avoid when solving for t in physics problems?

One common mistake is forgetting to convert units when necessary. Another mistake is using the wrong equation or formula for the given problem. It is also crucial to carefully rearrange equations and perform algebraic operations correctly to avoid errors. Finally, it is essential to check the final answer to ensure that it makes sense in the context of the problem.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Precalculus Mathematics Homework Help
Replies
15
Views
2K
  • Introductory Physics Homework Help
Replies
32
Views
1K
  • Introductory Physics Homework Help
2
Replies
38
Views
2K
Replies
4
Views
862
  • Special and General Relativity
Replies
25
Views
916
  • Calculus and Beyond Homework Help
Replies
8
Views
686
  • Precalculus Mathematics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Differential Equations
Replies
2
Views
1K
Back
Top