1. Understand the Concepts
* Uniform acceleration: The car's velocity increases at a constant rate.
* Distance: We need to find the total distance traveled during the acceleration.
2. Identify the Given Information
* Initial velocity (vi) = 22 m/s
* Final velocity (vf) = 27 m/s
* Time (t) = 10 s
3. Use the Relevant Equation
The equation that relates distance (d), initial velocity (vi), final velocity (vf), and time (t) for uniformly accelerated motion is:
d = (vi + vf) / 2 * t
4. Substitute and Calculate
* d = (22 m/s + 27 m/s) / 2 * 10 s
* d = 49 m/s / 2 * 10 s
* d = 24.5 m/s * 10 s
* d = 245 m
Answer: The car moved 245 meters while accelerating.