The y-component of the stone's velocity when it is 8 m below the hand is 14.86 m / s
v² = u² + 2 a s
s = Displacement
u = Initial velocity
a = Acceleration
u = 8 m / s
s = 8 m
v² = 8² + 2 * 9.8 * 8
v² = 64 + 156.8
v = √ 220.8
v = 14.86 m / s 
The equation used to solve the problem is an equation of motion. These equations are designed to locate an object in motion using components such as velocity, displacement, acceleration and time.
Therefore, the y-component of the stone's velocity is 14.86 m / s 
To know more about Equations of motion
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Answer:

Explanation:
From the question we are told that:
Frequency of 3rd harmonics 
Frequency of 5th harmonics 
Generally the equation for Wavelength at 3rd Harmonics is mathematically given by
  
Therefore
  
Generally the equation for Wavelength at 1st Harmonics is mathematically given by
  
Therefore
  
Generally the equation for the frequency of the first harmonic is mathematically given by
  
  
  
 
 
        
             
        
        
        
Answer:
Energy is defined as the ability to do work. Forms of energy could be kinetic energy or potential energy. Thermal or heat energy can originate from a hot object such as the sun. Energy is used to produce work. Electrical energy for lighting purposes and heating in homes and factories.
Explanation:
Energy is defined as the ability to do work and can be in various forms such as kinetic energy, potential energy, thermal, chemical, electrical energy etc.
Energy origination depends on the type of energy form in discussion. Thermal or heat energy can originate from a hot object such as the sun or an iron box, chemical energy originates from the interaction of atoms and molecules and electrical energy can be initiated by movements of electrons. 
Energy is used to produce work. Different forms of energy can do different tasks such as;
Heat energy for heating water 
Electrical energy for lighting purposes 
Geothermal energy for producing heat and electricity
Nuclear energy for production of nuclear power
Chemical energy for facilitating chemical reactions 
 
        
             
        
        
        
So....
imagine the x and y axis or draw it on a piece of paper, a white board or even on your wall if you like. I'm kidding just draw it on a piece of paper
50m up and 20m down 
the dog's displacement is 50 - 20 which is 30
your answer is 30m north