Moving from rest, the car on the path of 100 m changed its speed to 36 km / h. With what acceleration did the car move?

S = 100 m.

V0 = 0 m / s.

V = 36 km / h = 10 m / s.

a -?

Acceleration of a car, and is called a vector physical quantity that shows how its speed V changes over time t: a = (V – V0) / t.

With uniformly accelerated movement, the path S traveled by the car is determined by the formula: S = V0 * t + a * t ^ 2/2.

Since the car starts its motion from a state of rest V0 = 0 m / s, the formulas will take the form: a = V / t, S = a * t ^ 2/2.

t = V / a.

a = 2 * S / t ^ 2 = 2 * S * a ^ 2 / V ^ 2.

a = V ^ 2/2 * S.

a = (10 m / s) ^ 2/2 * 100 m = 0.5 m / s2.

Answer: the car was moving with acceleration a = 0.5 m / s2.