# Simple Harmonic Motion Problem

**1. The problem statement, all variables and given/known data**

An object moving with harmonic motion has an acceleration of -2 m/s^2 when the elongation is 0.5 m. Determine the angular frequency and the velocity and acceleration for t=1s.

**2. Relevant equations**

a=-ω^{2}x (1)

x=Acos(ωt+θ) (2)

a=-Aω^{2}cos(ωt+θ) (3)

**3. The attempt at a solution**

I found ω using equation (1). My problem is from this point on. To find the velocity and acceleration for t=1s I need to find the value of A and θ. However, I cannot do so because I don’t know the time for which a=-2m/s^{2} or x=0.5m. I believe I would have to assume that t=0 for the data given but I don’t like to do that as it is not stated in the problem. So, my question is, am I missing something obvious here or is there missing information in the statement? Thanks a lot for your help.

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