People heard the sound from the fireworks 5s after they saw it. The speed of sound

| August 18, 2021 | education

People heard the sound from the fireworks 5s after they saw it. The speed of sound in the air is 340 M / s. Find the distance to the fireworks.

t = 5 s.

Vsv = 340 m / s.

Vsv = 300,000,000 m / s.

S -?

Let us express the time of movement of light tw from the place of explosion of the fireworks to the observer by the formula: tw = S / Vw, where S is the distance from the place of explosion of the fireworks to the observer, Vw is the speed of light.

Let us express the time of movement of sound tsv from the place of explosion of the fireworks to the observer by the formula: tsv = S / Vsv, where S is the distance from the place of explosion of the fireworks to the observer, Vsv is the speed of sound in the air.

The difference in time t is expressed by the formula: t = tsv – tsv = S / Vsv – S / Vsv = S * (Vsv – Vsv) / Vsv * Vsv.

S = Vsv * Vsv * t / (Vsv – Vsv).

S = 340 m / s * 300,000,000 m / s * 5 s / (300,000,000 m / s – 340 m / s) = 1,700 m.

Answer: the distance to the fireworks is S = 1700 m.



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.