Answer : 
Explanation :
The word kinematics means the study of motion. Kinematic variables gives the description of the motion of the body.
Displacement, Velocity, acceleration and time are associated with the motion of particle.
Wavenumber is defined as the frequency of wave, which is measured in cycles per unit distance.
Wave number is also defines as:

where,
is wavelength

since, 
So, 
Where,
is angular frequency and
is velocity of wave.
Hence, the relationship between the angular wavenumber k and and kinamatic variable V is

Answer:
It should be 92 mi/h
Explanation:
Because there is no air resistance there is nothing pushing against it to slow it down, so only the initial force and gravity are acting on the ball
Answer:
no
Explanation:
they cannot because they contain the same amount of liquid
Answer:
Part a)

Part b)

Part c)

Part d)

Part e)

Part f)
It is independent of the speed of the object so all part answers will remain the same
Explanation:
Part a)
As we know that Point P is at height 5R while point Q is at height R
so the work done by gravity from P to Q is given as



Part b)
When it reaches to the top of the loop then its final height from ground is
h = 2R
so work done from P to Q is given as



Part c)
Potential energy at P point is given as



Part d)
Potential energy at Q point is given as



Part e)
Potential energy at top point is given as



Part f)
Since all the answer from part a) to part e) depends only upon the position of the object.
So here we can say that it is independent of the speed of the object so all part answers will remain the same