Consider the Eulerian flow field with the following velocity components

$V_x(x,y,z,t)=5x(1+0\mathrm{.}2t),V_y(x,y,z,t)=5yt,V_z(x,y,z,t)=0$

Determine $y(x)$ and $z(x)$ of the stream line at $t=5$ that passes through the point $x=1,y=1,z=1.$

Determine $x(t),y(t),z(t)$ of the path line of a fluid element in this flow that at the initial time $t_0=0$ passed through the point $x=1,y=1,z=1.$