Answer:
1779299.7m
Explanation:
From formulas in acoustic sound, we know that sound intensity is inversely proportional to the square of the distance away.
Thus;
I2/I1 = r2²/r 1²
So,
∆L = 10 log (I2/I1)
Where ∆L is the intensity of music and r1 and r2 are distances away.
∆L=10log 10(r1²/r2²)
∆L=10log 10(r1/r2)²
∆L= - 20log 10(r1/r2)
r2 = r1•10^(-∆L/20)
From the question,
∆L = 116 Db
r1 = 2.82m
Thus,
r2 = 2.82 x 10^(116/20)
r2 = 2.82 x 630957.34 = 1779299.7m
initial acceleration of rocket is given as
a = 12 m/s^2
h = 26 m
now we can use kinematics to find its speed



now after this it will be under free fall
so now again using kinematics

at maximum height



total height from the ground = 31.8 + 26 = 57.8 m
Part b)
now after reaching highest height it will fall to ground
So in order to find the speed we can use kinematics again



Part c)
first rocket accelerate to reach height 26 meter and speed becomes 24.98 m/s
now we have



after this it will reach to highest point and final speed becomes zero



now from this it will fall back to ground and reach to final speed 33.67 m/s
now we have



so total time is given as
<em>t = 3.44 + 2.55 + 2.1 = 8.1 s</em>
Reverse faults is the most best answer