In this question, we know the distance and the speed then why didn't we solved the time directly rather than using 2nd equation of motion ? If not then why did we solved time2 directly? Please explain elaborately.
Regards!

Thats very simple bro:)
given height,s=500m
g=10
speed of sound =340
on analysing we get that  we have to find time period
first analyze the data and apply different formulas for it then see which formula suits the best.
the formula that should be used here is
s=ut+1/2at2
u=0,
500=0+1/2x10xtxt
we get t=10 sec
now the time for the resound=500/340=1.47 sec
total time=10+1.47=11.47 sec.
HOPE IT HELPS U....:)
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