How fast should you drive the car so that, switching to movement with an acceleration of 1.5

How fast should you drive the car so that, switching to movement with an acceleration of 1.5 m / s, you can cover the distance of 195 m in 10 s?

Initial data: a (acceleration, which the car moved to) = 1.5 m / s2; S (distance traveled) = 195 m; t (duration of vehicle movement) = 10 s.

The speed with which it was necessary to drive the car before acceleration is determined from the formula: S = V0 * t + 0.5 * a * t ^ 2, whence V0 = (S – 0.5 * a * t ^ 2) / t.

Let’s calculate: V0 = (195 – 0.5 * 1.5 * 10 ^ 2) / 10 = 12 m / s.

Answer: The car had to be driven at a speed of 12 m / s.