The average body speed for 30 seconds of movement was 6 m / s. The average speed of the same body for the last 6

The average body speed for 30 seconds of movement was 6 m / s. The average speed of the same body for the last 6 seconds was 8m / s. Determine the average body speed for the first 24 seconds of movement.

Given:

t1 = 30 seconds – total time of body movement;

v1 = 6 m / s – the average speed of the body during the time t1;

v2 = 8 m / s – average body speed over the last 6 seconds.

It is required to determine v (m / s) – the average speed of body movement in the first 24 seconds.

For the entire time of the movement of the body, it has passed the way:

S1 = v1 * t1 = 30 * 6 = 180 meters.

In the last 6 seconds, the body has traveled a path:

S2 = v2 * 6 = 8 * 6 = 48 meters.

Then, in the first 24 seconds, the body went the way:

S = S1 – S2 = 180 – 48 = 132 meters.

The average body speed in the first 24 seconds will be equal to:

v = S / 24 = 132/24 = 5.5 m / s.

Answer: In the first 24 seconds, the average body speed is 5.5 meters per second.