Answer:
The equation of the displacement 
as a function of time 
is :
Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple 
or 
terms.
Thus,
is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time </em> - <em>
is amplitude </em> - <em>
is the natural frequency of oscillation (
)</em> - <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) = 
- The natural frequency () and time period () is :
∴
= 
∴
the equation :
<em>⇒
</em> ------1
since 
when 
,
<em>⇒
------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction , 
must be negative or c must be an odd multiple of 
.</u>
<em>⇒ 
------3</em>
where k is also an integer ;
the least value of 
;
thus ,
the equation is :
<em></em>
Answer:
x = 45°
Step-by-step explanation:
We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)
⇒ x + 115 = 160
⇒ x = 160 - 115
⇒ x = 45°
Learn more about vertically opposite angles: brainly.com/question/68367
<h3>
Image:</h3>
Answer:
'
Step-by-step explanation:
'
5 is a coefficient. A coefficient is a number multiplied by a variable.
(2y+13) is a factor. It can be multiplied by 8 to get an extended answer.
-1 is a constant. A constant is a number that does not change.
Hope this helps!
Answer:
2500 Minutes
Step-by-step explanation:
If you get 2 points every 5 minutes, how long will it take it to get 1000 points? It's simple
Divide the Number of Points by the Number Of Points you get every 5 minutes then times it by the number of minutes you get 2 points making 2,500 Minutes
I hope it helped ya!
