Answer/ Explanation: To determine how far the car traveled in the given amount of time, we can use the equation of motion:
distance = initial velocity * time + 0.5 * acceleration * time^2
Let's break it down step by step:
1. Identify the given information:
- Initial velocity (u) = 0 m/s (since the car starts from rest when getting on the highway)
- Acceleration (a) = 5.6 m/s^2
- Time (t) = 8.6 s
- Final velocity (v) = 43 m/s
2. Calculate the distance:
Using the equation of motion, we can substitute the given values into the formula:
distance = (0 * 8.6) + (0.5 * 5.6 * 8.6^2)
Simplifying the equation:
distance = 0 + (0.5 * 5.6 * 73.96)
distance = 0 + (20.72 * 73.96)
distance ≈ 1,531.47 meters
Therefore, the car traveled approximately 1,531.47 meters in that amount of time.