How long does it take for a car to travel 400m while moving from rest with an acceleration of 2m / s ^ 2?

The distance traveled by the car can be calculated using the formula:

S = V0 * t + a * t² / 2, where S is the distance traveled (S = 400 m), V0 is the initial speed (the car started from rest, V0 = 0 m / s), and is the acceleration of the car (a = 2 m / s²), t is the time of movement of the vehicle.

Let us express and calculate the time of movement of the car:

S = V0 * t + a * t² / 2 = 0 + a * t² / 2.

t² = 2S / a.

t = sqrt (2S / a) = sqrt (2 * 400/2) = sqrt (400) = 20 s.

Answer: The car will cover the distance of 400 m in 20 s.