Uniform Acceleration

Uniform acceleration refers to a situation where the velocity of an object changes at a constant rate over time. In this case, the racing car has a uniform acceleration of 4 m/s^2.

Calculating Distance

To calculate the distance covered by the racing car in 10 seconds after the start, we can use the following equation:

d = v₀t + 0.5at²

where:
- d is the distance covered
- v₀ is the initial velocity (which is assumed to be 0 in this case)
- t is the time
- a is the acceleration

Substituting Values

Since the initial velocity of the car is 0 m/s, the equation simplifies to:

d = 0.5at²

Substituting the given values:
- a = 4 m/s^2 (acceleration)
- t = 10 s (time)

We can now plug these values into the equation:

d = 0.5 * 4 * (10)²

Simplifying further:

d = 0.5 * 4 * 100

d = 2 * 4 * 100

d = 8 * 100

d = 800

Therefore, the racing car will cover a distance of 800 meters in 10 seconds after the start.

Explanation

When an object experiences uniform acceleration, its velocity increases by a fixed amount over each unit of time. In this case, the racing car's velocity increases by 4 m/s every second. Therefore, in the first second, its velocity will be 4 m/s, in the second second it will be 8 m/s, and so on.

To calculate the distance covered, we use the equation that takes into account both the initial velocity and the acceleration. By substituting the given values into the equation, we find that the racing car will cover a distance of 800 meters in 10 seconds after the start.

It is important to note that this calculation assumes that the acceleration remains constant throughout the entire 10-second period. In reality, the acceleration of a racing car may vary due to factors such as changes in speed, road conditions, and other external influences.