Find a model for simple harmonic motion if the position at t = 0 is 6, the amplitude is 6 centimeters, and the period is 4 seconds

y = 6cos(π/2)t

Step-by-step explanation:

Given in the question that,

in a simple harmonic motion in which

at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.  

And,

the period is given as 4 sec

We know that model equation of simple harmonic motion is

here,

a is amplitude

c is Horizontal shift or phase shift

d is Vertical shift

Period = 2 π / b

4 = 2π / b

b = 2π/4

b = 1π/2

Horizontal and vertical shifts are 0.

So, c = 0 and d = 0

y = 6cos π/2 (t + 0) + 0

y = 6cos(π/2)t

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00