Question

stone is dropped from the top of Tower of 500 height into a pond of water at base of the tower? when is the Splash heared

Answer 1

500/332= 1.50 seconds
That means after 1.50 sevonds the sound will be heared

Answer 2

$\bf{\underline{\underline{Answer:}}}$

• The total time taken to hear the sound of splash = 11.47 s.

$\bf{\underline{\underline{Step\: by\: step \:explanation:}}}$

$\bold{\underline {Given:}}$

• Height of tower = 500 m

• Acceleration due to gravity, $\tt g = 10\:m\:s^2$

• Velocity of sound = $\tt 340\:m\:s^{-1}$

Thus, to calculate the time of splash sound, first of all taken to reach the stone in the water is to be calculated.

We know that,

$\bigstar{\boxed {\bf s=ut+\dfrac{1}{2}gt^2}}$

Substituting the values, we get

$\tt \implies 500 = 0 \times t + \dfrac{1}{2}\times 10 \times t^2\\ \\ \tt \implies 500 = 5 \times t^2 \\ \\ \tt \implies \dfrac{500}{5} = t^2\\ \\ \tt \implies t = 10\: s$

Now, we know that

$\bigstar{\boxed {\bf Distance = Speed \times Time}} \\ \\ \tt Time =\dfrac{500}{340}=1.47\:s$

Thus, the total time taken to hear the sound of splash = 10 + 1.47 = 11.47s.