If a car at rest accelerates uniformly to a speed of 40 m/s in 20 seconds, it covers a distance of

To find the distance covered by the car, we can use the formula for distance covered under uniform acceleration, which is:

d = ut + 0.5at^2

where:

• d is the distance covered,
• u is the initial speed,
• a is the acceleration, and
• t is the time.

Given that the car starts from rest, u = 0. The final speed v = 40 m/s and the time t = 20 s.

First, we need to find the acceleration a. We can use the formula for acceleration, which is:

a = (v - u) / t

Substituting the given values:

a = (40 m/s - 0) / 20 s = 2 m/s^2

Now we can substitute u = 0, a = 2 m/s^2, and t = 20 s into the formula for distance:

d = 0 + 0.5 * 2 m/s^2 * (20 s)^2 = 0.5 * 2 m/s^2 * 400 s^2 = 400 m

So, the car covers a distance of 400 meters.