Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib
rium, bounces to it maximum height of 6 inches above equilibrium and returns to its lowest point in a total of 2 seconds. (think about amplitude and period)
So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.
The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).
The value at the end of the year is 100% - 20% = 0.80 of the value at the beginning of the year. After 4 years of multiplying by this factor, the value is $17,500·0.80⁴ = $7,168
-A is incorrect because the shape did not change -C is incorrect because the shape isn’t reflected over the y axis -D is incorrect because it’s clearly moved to a completely different part of the grid
