The car began to move with uniform acceleration and covered 25 meters in 5 seconds.

The car began to move with uniform acceleration and covered 25 meters in 5 seconds. How long does it take to cover 400 meters from the start of the movement?

Distance traveled:

S = V0 * t + a * t² / 2, where S is the distance traveled (S = 25 m), V0 is the initial vehicle speed (V0 = 0 m / s), and is the vehicle acceleration (2 m / s²), t – vehicle movement time (t = 5 s).

Let’s express and calculate the acceleration of the car:

a = 2S / t² = 2 * 25/52 = 50/25 = 2 m / s2.

Travel time of the car when passing 400 m (S = 400 m).

t² = 2S / a.

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

Answer: The car will travel 400 m in 20 seconds.