Question

an obserber sitting in line of two tanks watches the flashes of two tanks firing at ech other at the same time but hears the sounds of the two shots 2 sec and 3.5secs after seeing the flashes if the distance between themis 510m .find the speed of the sound

Answer 1

let the distance from the observer to the first tank be 'x' m.

then the distance from the observer to the second tank will be (x+510)m

1st equation:

s = d/t      {s = speed of sound, d=distance, t= time}

s = x/2   (t = 2sec)

x = 2s ----------------> equation 1

2nd equation:

s = d/t

s = (x+510)/(3.5)  ----------------> equation 2

substitute equation 1 in equation 2

we get

s = (2s + 510)/(3.5)                      {x = 2s}

3.5s = 2s+ 510

1.5 s = 510

3/2 s = 510

s = 510x 2 /3

s = 340 m/s

Answer 2

Answer:

Explanation:

T1=2sec

T2=3.5sec

Original time=3.5–2=1.5

Distance=510m

S=5100/15=340ms^-1