# Homework Help: Vector Calculus World Problem About Mechanics

1. Jun 9, 2010

### number0

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

A particle is constrained to move around the unit circle in the xy plane according to the

formula (x,y,z)=(cos(t2),sin(t2),0), t$$\geq$$0.

At what point on the circle should the particle be released to hit a target at (2,0,0)?

2. Relevant equations

None

3. The attempt at a solution

I computed the velocity vector and speed of the particle as functions of t:

velocity: (-2tsin(t2),2tcos(t2),0)

speed: 2t.

After wards, I got stuck. Any advice would be appreciated.

2. Jun 9, 2010

### gabbagabbahey

Hint: Once the particle is released (No forces act on it), what kind of trajectory would you expect it to have? (i.e. circular, parabolic, etc.)