Q$6.(25$ marks$)$

a$.$ Draw the velocity profile for a field given as $V=6$xhat$(j)(5$ marks$)$

b$.$ A velocity field is given as $V=$xhat$()+x(x-1)(y+1)hat()$ where the components are in $\frac{m}{s}.$ Find the equation of the streamline that passes through the origin. Also find the stagnation point, if any. $(15$ marks$)$

c$.$ What is the barometric reading in mm of Hg and ft $.$ of another liquid of $SG=0\mathrm{.}5,$ at a height of $4$ km above the earth's surface, where the pressure is $62$ kPa $?$