Find a model for simple harmonic motion if the position at t = 0 is 0, the amplitude is 5 centimeters, and the period is 2 seconds.

This is one possibility fitting the criteria.

Step-by-step explanation:

I was thinking about using the sine curve because we have that it starts at and not . The factor of 5 came from the amplitude.

So we know so far our function looks like this .

However the inside will be effected since the period is 2.

has a period of .

has a period of .

We want to have a period of 2 so we want to solve .

So multiply both sides by b:

Divide both sides by 2:

.

So the function we have from the given information is:

i belive those are the ones that are under 90 degreese.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.