# During t1-s, the body moved at a speed of 20 m / s. t2 at a speed of 30 m / s. What is the average body speed.

t1.

t2.

V1 = 20 m / s.

V2 = 30 m / s.

Vav -?

To find the average speed of movement Vav, it is necessary to divide the entire path S passed by the body by the time of its passage t: Vav = S / t.

The travel time of the entire path is expressed by the sum: t = t1 + t2, where t1 is the time of movement on the first part of the path, t2 is the time of movement on the second part of the path.

The path S traversed by the body will be the sum: S = S1 + S2.

With uniform movement, the distance traveled on the first part of the path S1 is expressed by the formula: S1 = V1 * t1.

S2 = V2 * t2.

S = V1 * t1 + V2 * t2.

The average body speed Vav will be determined by the formula: Vav = (V1 * t1 + V2 * t2) / (t1 + t2).

Vav = (20 m / s * t1 + 30 m / s * t2) / (t1 + t2).

Answer: the average body speed is Vav = (20 m / s * t1 + 30 m / s * t2) / (t1 + t2).