With uniformly accelerated rectilinear motion, the speed of the vehicle in 5 s decreased from 25

With uniformly accelerated rectilinear motion, the speed of the vehicle in 5 s decreased from 25 to 5 m / s. during this time the car has passed the way?

t = 5 s.

V0 = 25 m / s.

V = 5 m / s.

S -?

When braking with constant acceleration, the path S traveled by the car will be determined by the formula: S = V0 * t – a * t2 / 2, where V0 is the vehicle speed at the beginning of braking, t is the braking time, a is the vehicle’s acceleration during braking.

Let us write down the formula for the acceleration of the car and during braking: a = (V0 – V) / t.

a = (25 m / s – 5 m / s) / 5 s = 4 m / s2.

S = 25 m / s * 5 s – 4 m / s2 * (5 s) 2/2 = 25 m.

Answer: when braking, the car will cover the distance S = 25 m.