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## Homework Statement

If a wave y(x,t) = 5mm sin(kx + (600rad/s)t + φ) travels along a string, how much time does any given point on the string take to move between displacements y = 2mm and y = -2mm

## The Attempt at a Solution

we have

**1.**2=5sin(kx + 600t

_{1}+ φ)

sin(kx + 600t + φ)=0.4

kx + 600t + φ = 0.4

*(=0.4 or =23.5 because im not sure which mode to use on the calculator, degrees or radians)*

**2.**-2=5sin(kx + 600t

_{2}+ φ)

sin(kx + 600t + φ)=-0.4

kx + 600t + φ = -0.4

*(=-0.4 or =-23.5 same reason)*

Since its the same point moving up and down, we have the same kx and φ (ill use the 0.4 since both ways my answer is wrong)

0.4 - 600t

_{1}= -0.4 - 600t

_{2}

600(t

_{1}-t

_{2}) = 0.8

Δt = 1.3 * 10

^{-3}s = 1.3ms

**and its supposed to be one of the easiest problems because its the first problem of the chapter but i just cant do it and please tell me more about the calculator modes issue i talked about**

__the answer is 1.1ms__