Answer:
a) 1.95 m/s
b) 5.56 m
Explanation:
Given that:
Velocity of the skier 
= 14.3 m/s
For the skier moving in the direction of the wave, we have:
Period (T) = 0.450 s
Relative velocity (V) of the skier in regard with the wave = 
where:
= velocity of the skier
= velocity of the wave
The wavelength 
can be written as:
---------------> Equation (1)
For the skier moving opposite in the direction of the wave, we have:
Period (T) = 0.342 s
Relative velocity (V) of the skier in regard with the wave = 
The wavelength can be written as:
------------------> Equation 2
Equating equation (1) and equation (2) and substituting = 14.3 m/s ; we have:
Collecting the like terms; we have:
b)
The Wavelength of the wave can be calculated using : 
λ ≅ 5.56 m
Answer:
The work done is -209.42 J.
Explanation:
F(x) = (- 20 - 3 x ) N
x = 0 to x = 6.9 m
Here, the force is variable in nature, so the work done by the variable force is given by
![W =\int F dx\\\\W =\int_{0}^{6.9}(-20- 3x dx )\\\\W= \left [ - 20 x - 1.5 x^2 \right ]_{0}^{6.9}\\\\W = - 20 (6.9 - 0) - 1.5(6.9\times 6.9 - 0)\\\\W =- 138 - 71.42\\\\W = - 209.42 J](https://tex.z-dn.net/?f=W%20%3D%5Cint%20F%20dx%5C%5C%5C%5CW%20%3D%5Cint_%7B0%7D%5E%7B6.9%7D%28-20-%203x%20dx%20%29%5C%5C%5C%5CW%3D%20%5Cleft%20%5B%20-%2020%20x%20-%201.5%20x%5E2%20%5Cright%20%5D_%7B0%7D%5E%7B6.9%7D%5C%5C%5C%5CW%20%3D%20-%2020%20%286.9%20-%200%29%20-%201.5%286.9%5Ctimes%206.9%20-%200%29%5C%5C%5C%5CW%20%3D-%20138%20-%2071.42%5C%5C%5C%5CW%20%3D%20-%20209.42%20%20J)
the answer is C
energy can neither be created nor destroyed; it may only be transformed
Hello there! Quantitive data has to do with measurements that can be shown with numbers. Examples of this are things like your height and the length of your arms. With that alone, A and B are eliminated, because those answer choices make no sense. They can't be expressed by numbers and you can't measure colors or odors mathematically. Volume is a way to measure something that CAN be written down by numbers. D is the only answer choice that fits the definition of quantitive data. The answer is D: volume.
