Atransverse wave on a string is described by the wave function y(x, t) = 0.338 sin(1.15x + 86.0t) where x and y are in meters and t is in seconds. consider the element of the string at x = 0. (a) what is the time interval between the first two instants when this element has a position of y

0.073 s

Step-by-step explanation:

The equation of a progressive wave is given by:

                               y = Asin(kx + ωt)

where;

A is the amplitude of the wave in meters

y(x,t) is the displacement in meters

k = 2π/λ is the propagation constant

ω = 2π/T is the angular frequency in radian per seconds

T is the period ⇒ The time taken to complete one oscillation.

The equation now becomes;

                                  y = Asin((2πx)/λ ± 2πt/T)

Comparing the given  y(x, t) = 0.338 sin(1.15x + 86.0t) with the general equation;

                                      2πt/T = 86.0t

                                         T = 2π/86

                                         T = 0.073 s

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.