Final answer:
The race car will take approximately 7.31 seconds to travel 400 meters.
Step-by-step explanation:
The time it takes for the race car to travel 400 meters can be calculated using the equation:
Distance = Initial Velocity * Time + 0.5 * Acceleration * Time^2
In this case, the race car starts from rest, so the initial velocity is 0 m/s, and the acceleration is 15 m/s^2. We need to solve for time. Rearranging the equation, we get:
400 = 0.5 * 15 * Time^2
Simplifying, we have:
Time^2 = 400 / (0.5 * 15) = 400 / 7.5 = 53.33
Taking the square root of both sides, we find:
Time ≈ √53.33 ≈ 7.31 seconds
Therefore, it will take approximately 7.31 seconds for the race car to travel 400 meters.
Learn more about Time taken for a race car to travel a distance