In terms of given quantities, by what amount of time, , does Tim beat Rick?

It will help you check your answer if you simplify it algebraically and check the special case .
Express the difference in time, in terms of , , and .

(d(4-2VwVr+Vw^2+Vr^2))/2(Vr+Vw)

To answer the question, we need more information about Tim and Rick. We don't have any given quantities or values for , , and . Please provide more information or specify the values for these variables.

To determine the difference in time by which Tim beats Rick, we need to first understand the given quantities and the relationship between them.

Let's denote the time it takes for Tim to complete a task as T, and the time it takes for Rick to complete the same task as R. The difference in time, represented as Δt, can be expressed as T - R.

Now, let's break down the variables provided in the question:

- The given amount of time (represented by ) indicates a specific duration or value.
- We are asked to express the difference in time (Δt) in terms of , , and . This implies that our answer should consist of the variables , , and , along with any mathematical operations required for the expression.

To determine the relationship between T and R, we are given an equation to simplify algebraically and a special case to consider. However, without the specific equation or values, it is difficult to provide a direct solution.

Here are the general steps to simplify the equation and consider the special case:

1. Start with the equation that relates T and R. It could be an equation involving ratios or any other mathematical relationship.

2. Simplify the equation algebraically, manipulating it to obtain T or R explicitly.

3. Once you have either T or R expressed in terms of , , and , compute the difference in time, Δt = T - R.

4. Substitute the given values for , , and into the expression for Δt to obtain the specific difference in time for the special case.

By following these steps, you should be able to express the difference in time, Δt, in terms of , , and , and also evaluate it for a given scenario.

In physics, to arrive at numerical answers, you need numerical input data.

You have not provided anything but some incomplete sentences.

You should consider dropping out of the course.