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:
-3n+11 or 3n+11 or 3n-11 one of those
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given


Required
f(10)
An exponential function is represented as:

impleies that:
--- (1)
implies that
--- (2)
Divide (2) by (1)



Take 4th root

Substitute
in 


Solve for (a)


f(10) is calculated as:



(-3, 1.5)....simply add the x coordinates together, divide them by two, and then do the same for the y coordinates.
Answer:
1.4 hour, or 1 hr 24 min
Step-by-step explanation:
The trains separate at the rate (80 + 90) mph.
Recall that distance = rate times time, or time = distance / rate.
238 mi
Here, the elapsed time is -------------- = 1.4 hr, or 1 hr 24 min
170 mph