Understanding the Concepts
* Velocity: The rate at which an object changes its position. It has both magnitude (speed) and direction.
* Acceleration: The rate at which an object changes its velocity. It's also a vector quantity.
* Average Acceleration: The change in velocity divided by the time interval over which the change occurs.
Formula
Average Acceleration (a) = (Final Velocity (v_f) - Initial Velocity (v_i)) / Time (t)
Given Information
* Initial Velocity (v_i) = +9.5 m/s
* Final Velocity (v_f) = 0 m/s
* Time (t) = 3 seconds
Calculation
1. Plug the values into the formula:
a = (0 m/s - 9.5 m/s) / 3 s
2. Calculate:
a = -9.5 m/s / 3 s
a = -3.17 m/s²
Answer
The average acceleration of the car during this time interval is -3.17 m/s². The negative sign indicates that the acceleration is in the opposite direction to the initial velocity, meaning the car is decelerating or slowing down.