# Homework Help: Calc/Trig Hybrid

1. Jan 15, 2008

### Hannelore

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

A mass is suspended from the ceiling on a spring. It is pulled down to point P and then released. It oscillates up and down. Its distance, s cm, from the ceiling, is modeled by the function s=48 + 10cos($$\Pi$$t) where t is the time in seconds from release.

(a)What is the distance of the point P from the ceiling. Do not use a calculator

(b) Find ds/dt

2. Relevant equations

The Unit Circle

3. The attempt at a solution

(a) I set it equal to zero, and then used the unit circle to find that cos($$\Pi$$) = 1, but that doesn't take into account the t.

2. Jan 16, 2008

### Dick

The "point of initial release" is where t=0 isn't it? Besides cos(pi)=(-1).

Signed, Confused.

Last edited: Jan 16, 2008
3. Jan 16, 2008

### Hannelore

Oh, you're right about cos(pi)=(-1)

4. Jan 16, 2008

### HallsofIvy

He's also right about the mass being at point P when t= 0!

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