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The given velocity function is \( v(t) = 3 - \frac{10}{t+1} \), and we are tasked with finding \( v(4) \).

To solve for \( v(4) \), we substitute \( t = 4 \) into the function:

\[
v(4) = 3 - \frac{10}{4+1} = 3 - \frac{10}{5} = 3 - 2 = 1
\]

Thus, the value of \( v(4) \) is \( 1 \).

The correct answer is \( \boxed{1} \).

Would you like more details on how the function was evaluated? Here are five follow-up questions:

1. How does the term \( \frac{10}{t+1} \) affect the velocity function for different values of \( t \)?
2. What is the behavior of the velocity function as \( t \to \infty \)?
3. How would you find the time when the particle comes to rest?
4. Can you describe how the velocity changes as \( t \) increases?
5. How could you graph the function \( v(t) = 3 - \frac{10}{t+1} \)?

**Tip:** Always substitute carefully, especially when dealing with fractions, to avoid simple arithmetic errors.

The function v(t) = 3 - 10/(t+1) models the velocity of a certain particle. What is v(4)?

Learn how to evaluate the velocity function v(t) = 3 - 10/(t+1) at t = 4 with a step-by-step solution. This algebra problem involves substitution and function evaluation, suitable for Grades 9-11.

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