We know that,

The angle between v and w is given as,

Having found the tangential component, now we can find the normal component knowing the magnitude of the acceleration is g.

In the above equation we choose the -ive sign since we already know that g is acting in the -ive direction and cannot have a projection along the normal to the velocity. Thus,

The velocity vector is directed along the tangent to the path of the particle, thus,

These curves can now be plotted

## Wednesday, July 18, 2007

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