The following equation describes an object's motion.  The object moves along a line with uniform acceleration.  What is the initial velocity of the object? v(t)=2.6t-5

The equation provided describes the velocity \( v(t) \) of an object as a function of time \( t \):

\[
v(t) = 2.6t - 5
\]

To find the initial velocity of the object, we evaluate the velocity function at \( t = 0 \) (which corresponds to the initial time).

Substituting \( t = 0 \) into the velocity equation:

\[
v(0) = 2.6(0) - 5 = -5
\]

Therefore, the initial velocity of the object is \(-5\) units (the units depend on the context, such as meters per second if the velocity is in standard SI units).

Would you like more details or have any questions?

Here are some related questions:
1. How does the velocity function \( v(t) = 2.6t - 5 \) relate to the object's acceleration?
2. What does a negative initial velocity imply about the object's motion?
3. How would the initial velocity change if the constant term in the velocity equation were different?
4. How can you determine the time at which the object comes to rest (i.e., when \( v(t) = 0 \))?
5. What is the object's velocity at a later time, say \( t = 3 \) seconds?

**Tip:** Initial conditions like initial velocity are key to understanding an object's motion and predicting its future behavior.

Discover how to find the initial velocity of an object moving with uniform acceleration using the velocity equation v(t) = 2.6t - 5. Understand the key concepts of kinematics and uniform acceleration. Suitable for students in Grades 9-12.

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