A) A) The speed of sound depends on temperature. At 0 degrees Celsius, the speed

Question

A) A) The speed of sound depends on temperature. At 0 degrees Celsius, the speed of sound is 331 m/s.

It travels 0.6 m/s faster for every degree Celsius above 0 C.

v = (331 m/s) + (0.6 m/s/degree C) * T.What is the speed of sound when the temperature is 14 degrees C? __________m/s

B) On a 23 degree Celsius day, there is an explosion. The sound is heard 4.4 seconds later.How far away was the explosion? _______km

C) Standing on the rim of a canyon, on a 11 degree C day, you shout across the canyon. 2.1 seconds later, you hear your echo. How wide is the canyon? _______________m

D) On a 17 degree day there is a thunderstorm.You see a flash of lightning. 5.1 seconds later you hear thunder. How far away was the lightning? ______________km

Explanation / Answer

1. givne

at t= 273.16 K, c(T) = 331 m/s

also

c(T) = 331 + 0.6*T ( T in celcius)

for T = 14 C

c(14) = 339.4 m/s

B. T = 23 C

t = 4.4s

c(23) = 344.8m/s

hence d = c*t = 1517.12m

d = 1.51712 km

C. T = 11 C

t = 2.1 s

c(11) = 337.6 m/s

distance to canyon = d

hence

c = 2d/t

hence

d = 354.48 m

D. T = 17 C

t = 5.1 s

c(t) = 341.2 m/s

d = c*t = 1740.12m = 1.74012m

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