The car passed a section of 500 m long with an acceleration of 2 m / s ^ 2.

The car passed a section of 500 m long with an acceleration of 2 m / s ^ 2. Determine the travel time for this section if the initial speed was 5 m / s.

Initial data: S (length of the section along which the car was moving) = 500 m; a (vehicle acceleration) = 2 m / s ^ 2; V0 (speed at which the car started moving) = 5 m / s.

We calculate the travel time from the formula:

S = V0 * t + a * t ^ 2/2.

500 = 5 * t + 2 * t ^ 2/2.

t ^ 2 + 5t – 500 = 0.

Let’s calculate the travel time according to Vieta’s theorem:

t1 + t2 = -p, where p = 5.

t1 * t2 = q, where q = -500.

Equation roots: t1 = -25 s (not suitable); t2 = 20 s (suitable).

Answer: The driving time of the vehicle is 20 seconds.