A particle flies away from the surface of the fluid
at time *t = t _{1}*. The surface model gives us
the initial velocity vector of the particle

wherea(t) = -gk

- Show that the velocity vector of the particle is given by
**v**(t) = -gt**k**+**c**is a constant vector.**c** - Show that the position vector of the particle is given by
**r**(t) = -½gt²**k**+**c**t+**d**is a constant vector.**d** - Use the initial velocity and position to determine
the constants
and**c**.**d** - At time
*t*, the particle falls back onto the surface or lands outside the fluid body. Describe in words how we can use the vector function_{2}> t_{1}to determine**r**(t)*t*._{2}

Latest update 27. November 2008 by Iver Ottosen