The car traveled the distance between two points at a speed v1, and then increasing the speed to v2

| May 29, 2021 | education

The car traveled the distance between two points at a speed v1, and then increasing the speed to v2, traveled the same distance. Find the average speed of the car Vav for the entire time of movement.

To find the average speed of movement Vav, it is necessary to divide the entire traversed path S 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 half of the path, t2 is the time of movement on the second half of the path.

t1 = S1 / V1 = S1 / V1.

t2 = S2 / V2 = S1 / V2.

t = S1 / V1 + S1 / V2 = (S1 * V2 + S1 * V1) / V1 * V2 = S1 * (V2 + V1) / V1 * V2.

S = S1 + S2 = S1 + S1 = 2 * S1.

The formula for determining the average vehicle speed will take the form: Vav = 2 * S1 * V1 * V2 / S1 * (V2 + V1) = 2 * V1 * V2 / (V2 + V1).

Answer: the average speed of the car will be determined by the formula Vav = 2 * V1 * V2 / (V2 + V1).



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.