This question involves the concept of the conservation of energy.
(a) The child's speed halfway will be "12.13 m/s".
(b) The child's speed three-fourth way will be "14.86 m/s".
(a)
Using the <em>law of conservation of energy</em>:
Potential Energy Lost = Kinetic Energy Gained

where,
v = speed = ?
g = acceleration due to gravity = 9.81 m/s²
h = height lost = halfway = height/2 = 15 m/2 = 7.5 m
Therefore,

<u>v = 12.13 m/s</u>
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(b)
Using the <em>law of conservation of energy</em>:
Potential Energy Lost = Kinetic Energy Gained

where,
v = speed = ?
g = acceleration due to gravity = 9.81 m/s²
h = height lost = three-fourth way down = 
Therefore,

<u>v = 14.86 m/s</u>
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Learn more about the <em>law of conservation</em> of energy here:
brainly.com/question/20971995?referrer=searchResults
The attached picture shows the <em>law of conservation of energy</em>.
<h2>The correct option is (A)</h2>
Explanation:
Travels faster in solids because the particles are closer together.
The reason for the above statement is -
(i) Sound waves travel through the medium (solid, Liquid, and gas), more denser is the medium more is the speed of sound.
(ii) In solid, the particles are arranged very closely and tightly packed therefore the sound waves in solid have the fastest speed or travels fastest in comparison to liquid and gas.
(iii) Slower than solid is the travel of sound waves in liquid than in gas(least dense, particles are far apart.
Answer:
The short answer is that velocity is the speed with a direction, while speed does not have a direction.
Explanation:
Speed is how fast an object is moving. It is calculated by the displacement of space per a unit of time. Velocity is the rate at which an object changes position in a certain direction. It is calculated by the displacement of space per a unit of time in a certain direction. Velocity deals with direction, while speed does not.
Answer:
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