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the sound from a very high burst of fire works takes 4.5seconds to arrive at you

ID: 1754199 • Letter: T

Question

the sound from a very high burst of fire works takes 4.5seconds to arrive at your ear drums. the burst ocurred 1500 metersabove you and travelled verticaly though two stratified layers ofair , the top one at 0º and the bottom one at20º how thick is each layer of air the sound from a very high burst of fire works takes 4.5seconds to arrive at your ear drums. the burst ocurred 1500 metersabove you and travelled verticaly though two stratified layers ofair , the top one at 0º and the bottom one at20º how thick is each layer of air

Explanation / Answer

   Given that total distance D = 1500 m time t = 4.5 s speed of sound at 0o is v1 = 331 m/s speed of sound at 20o is v2 = 343 m/s
Let d1 and d2 be the thickness of the eachlayer .
The total time is         t = d1/v1 +d2/v2        4.5s = d1 /(331 m/s)+ d2/(343 m/s) ------------ (1)    and d1 + d2 = 1500 -------------------------------- (2) Solving (1) and (2 ) we get d1 and d2. Let d1 and d2 be the thickness of the eachlayer .
The total time is         t = d1/v1 +d2/v2        4.5s = d1 /(331 m/s)+ d2/(343 m/s) ------------ (1)    and d1 + d2 = 1500 -------------------------------- (2) Solving (1) and (2 ) we get d1 and d2.