Answer:
a. v = 340.27 m/s
b. t = 0.15 s
Explanation:
a.
The speed of sound at any given temperature can be found out by the use of the following formula:
[tex]v = (331\ m/s)\sqrt{\frac{T}{273\ k}}[/tex]
where,
T = Absolute temperature = 15.5°C + 273 = 288.5 k
therefore,
[tex]v = (331\ m/s)\sqrt{\frac{288.5\ k}{273\ k}}[/tex]
v = 340.27 m/s
b.
The time of echo to return can be found by the following formula:
[tex]s = vt\\\\t = \frac{s}{v}[/tex]
where,
t = time = ?
s = distance = (2)(25 m) = 50 m
v = speed of sound = 340.27 m/s
Therefore,
[tex]t = \frac{50\ m}{340.27\ m/s}[/tex]
t = 0.15 s
