a.) A soccer player kicks a rock horizontally off a 30 m high cliff into a pool of water. If the player hears the sound of the splash 2.64 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s.b.) If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.64 s after kicking the rock?

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Asked Sep 11, 2019
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a.) A soccer player kicks a rock horizontally off a 30 m high cliff into a pool of water. If the player hears the sound of the splash 2.64 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s.

b.) If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.64 s after kicking the rock?

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Expert Answer

Step 1

a)

The time taken to fall in vertical distance,

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2h 2(30) 9.8 =2.474 s

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Step 2

Thus, the time taken to reach the player by the sound after splash is,

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(At)t-4 =(2.64-2.474) = 0.166s

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Step 3

Thus, the required initial s...

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((a)(h) V [(343)(0.166)]-(30)* 2.474 -19.56 m/s

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