Question

A) What is the vertical shift, k, of this curve?

b) What is the amplitude, a, of this curve?
c) What is the period and the frequency factor, b, of this curve?
d) Write an equation using the sine function that models this curve.

Answer 1

The characteristics of the wave can be found using the given wave function y(x, t) = A sin (kx - wt + p). The amplitude is 0.30 m, the vertical shift is -18.00 m, the period is 1/18.00 s, and the equation using the sine function is y(x, t) = (0.30 m)sin [4.30m 2π (x - 18.00mt)].

Step-by-step explanation:

To find the characteristics of the wave described by the wave function y(x, t) = A sin (kx - wt + p), we can use the given equation y(x, t) = (0.30 m)sin [4.30m 2π (x - 18.00mt)].

a) The amplitude, A, of the wave is 0.30 m.

b) The vertical shift, k, of the curve is -18.00 m.

c) The period of the wave is T = 1/b, where b is the coefficient of t. In this case, the period is 1/18.00 s.

d) The equation using the sine function that models this curve is y(x, t) = (0.30 m)sin [4.30m 2π (x - 18.00mt)].