Harley the horse trots down the street with an acceleration of -4m/s2.  Harley trots for 4.30 seconds until she reaches a crosswalk and stops.   What was Harley’s initial velocity?

To find Harley's initial velocity, we can use the kinematic equation that relates acceleration, time, initial velocity, and final velocity:

\[
v_f = v_i + a t
\]

Where:
- \(v_f\) is the final velocity,
- \(v_i\) is the initial velocity,
- \(a\) is the acceleration, and
- \(t\) is the time.

From the problem:
- Final velocity \(v_f = 0 \, \text{m/s}\) (since Harley stops),
- Acceleration \(a = -4 \, \text{m/s}^2\),
- Time \(t = 4.30 \, \text{seconds}\).

We can solve for \(v_i\) (initial velocity) by rearranging the equation:

\[
v_i = v_f - a t
\]

Now, substitute the known values:

\[
v_i = 0 - (-4) \times 4.30
\]

\[
v_i = 4 \times 4.30 = 17.2 \, \text{m/s}
\]

So, Harley’s initial velocity was **17.2 m/s**.

Would you like more details or explanations?

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Here are 5 related questions to further explore this concept:
1. What is the displacement of Harley during the trot?
2. How would the result change if the acceleration were positive?
3. How can you calculate the average velocity during the trot?
4. What if Harley's acceleration changed halfway through the trot?
5. How would you calculate the time if only the initial and final velocities were given?

**Tip:** When acceleration is negative (deceleration), the object is slowing down, and this directly affects how quickly the final velocity reaches zero.

Harley the horse trots down the street with an acceleration of -4m/s2. Harley trots for 4.30 seconds until she reaches a crosswalk and stops. What was Harley’s initial velocity?

Discover how to calculate the initial velocity of Harley the horse using kinematic equations of motion. This problem involves key concepts like acceleration, time, and velocity, suitable for students in Grades 9-11. Learn the step-by-step process for solving linear motion problems.

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