The body increased its speed in 5 s from 10 to 20 m / s. Determine the path traveled by the body during this time.

Initial data for the solution: V0 (initial velocity of the body) = 10 m / s, V (final velocity of the body) = 20 m / s, t (time during which the velocity of the body changed) = 5 s.

1) Let’s define the acceleration of the body.

V = V0 + a * t.

Let’s calculate

20 = 10 + a * 5.

5a = 20 – 10 and a = 10/5 = 2 m / s2.

2) We calculate the path traversed by the given body in time t:

S = (V² – V0²) / 2a.

Let’s do the calculation:

S = (20² – 10²) / (2 * 2) = (400 – 100) / 4 = 300/4 = 75 m.

Answer: In 5 seconds, the body will cover a path of 75 meters.