Answer:
Third Option

Explanation:
If we have a vector A = ax + by we know that by definition
cA = cax + cby
Where c is a constant.
In this case we have two vectors

You may notice that vector B has an opposite direction to vector A.
You may also notice that | Ax | is the double of | Bx | and | Ay | is double of |By |
That is to say

So the equation that relates to vectors A and B is:
.
You can verify this relationship by performing the operation


Answer:
No, duration is not the sole reason.
Explanation:
The frequency is reciprocal of time period, so we can calculate the frequency differences between the waves as, (The frequency will not match with the actual waves frequency, since here the time for observing the wave is different)
Δf₁ = 1/5 - 1/20 = 0.15 Hz
Δf₂ = 1/200 - 1/400 = 2.5 x 10⁻³ Hz
So, the person will be able to differentiate between the waves which are farther apart. The duration of the individual tones is also important, since as the duration of the tones decreases, the number of frequencies in the wave increases (Fourier Transform), whereas a longer duration tone, has lesser number of frequencies.
One more reason is that the 200 msec and 400 msec duration waves are in frequency region of 1-5 Hz which cannot be heard by Humans.
Answer:
Answer: The spring constant of the spring is k = 800 N/m, and the potential energy is U = 196 J. To find the distance, rearrange the equation: The equation to find the distance the spring has been compressed is therefore: The spring has been compressed 0.70 m, which resulted in an elastic potential energy of U = 196 J being stored.
Explanation:
Answer:
D
Explanation:
they can see this along with many other fish.
Answer:
Equal
Explanation:
The law of conservation of energy states that the total momentum before and after a collision are equal