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During a storm, thunder is heared 7s after the lightining is seen. If the temperature of the air at the time of the storm is 28°C .how far away is the storm?​

User Airah
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2 Answers

5 votes

Answer:

2440 m

Step-by-step explanation:

The speed of light in air is approximately 3×10⁸ m/s.

The speed of sound in air at 28°C is approximately:

v = 331.4 m/s + 0.6 m/s/°C (28°C)

v = 348.2 m/s

Let's say the distance between you and the storm is x.

Distance = speed × time

x = 3×10⁸ t₁

x = 348.2 t₂

Since t₂ = t₁ + 7:

x / 348.2 = x / 3×10⁸ + 7

Solving for x:

x (1/348.2 − 1/(3×10⁸)) = 7

x = 2440

The storm is approximately 2440 meters away (round as needed).

User Clack
by
5.5k points
2 votes

Answer:

2 meters

Step-by-step explanation:

time is directly proportional to temperarure where distance is the constant k

therefore

T = t x 2a

28=7 x 2a

28= 14a

a=2m

User Nick Jurista
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5.3k points