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## Homework Statement

A pedulum, which is 0.5 m long, swings back and forth. The angle of it's displacement from it's original position is modelled by:

Theta = 1/4Sin(Pi/3)

IN the first 4 seconds, when will the vertical displacement of the pendulum be 1 cm?

## The Attempt at a Solution

What I did was:

Find the angle theta.

The pendulum can swing to the left into an imaginary "Quadrant 3" so

sin theta = 0.01/0.5

theta = _____

Then I subbed that into the equation and got a decimal answer.

I was sure there was more than one answer, so in the last minute, I added Pi and _____, since it's in the third quadrant. And ended up with 3. something.

The other class did this question the day before our test and ended up with 4 answers!

I looked at the solutions, but one of them was 5.94 or along those lines, but it didn't satisfy what the question was looking for -

**the first 4 seconds**

That teacher also drew the 1 cm displacement on the horizontal component of the pendulum, which was odd... didn't it ask for the vertical?

?

:(