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## Homework Statement

A 0.10kg mass is on a spring with k = 0.10 N/m. At time t=0s it crosses x=0m with a velocity of 2.0m/s. What is its displacement when v=1.0m/s?

## Homework Equations

x(t) = Acos(wt + [tex]\varphi[/tex])

v(t) = -wAsin(wt + [tex]\varphi[/tex])

w = [tex]\sqrt{k/m}[/tex]

## The Attempt at a Solution

According to the question...shouldn't v(0) = 2? When a plug those numbers into the v(t) equation I get: v(0) = -wAsin(0) = 0...in other words, v(0) = 0...what am I missing here? I have an idea of where to go from here, but if someone could clarify how I'm supposed to start, that would be great. Thanks for your time.