Qnestion $4(25\%)$:

The velocity of water flow in the nozle shown in Figure below is given by the following expression.

$V=\frac{2t}{1-(0\mathrm{.}5\frac{x}{L}{)}^2}$

orve dipentir

nun$-$unfum $-$nun$-$sterde

Where, $V=$ velocity in meter per second $(\frac{m}{s}),t=$ time in seconds $(s),x=$ distance along the nozzle, and $L=$ length of nozzle $=1\mathrm{.}2m.$ When $x=0\mathrm{.}75L$ and, $t=2\mathrm{.}5s,$ what are the local and convective accelerations? Assume flow is one$-$dimensional.

vec$(v)=u\frac{\text{d}\text{e}\text{l}(vec(V))}{\text{d}\text{e}\text{l}\text{x}}+v\frac{\text{d}\text{e}\text{l}(vec(V))}{\text{d}\text{e}\text{l}\text{y}}+w\frac{\text{d}\text{e}\text{l}(vec(V))}{\text{d}\text{e}\text{l}\text{z}}+\frac{\text{d}\text{e}\text{l}(vec(V))}{\text{d}\text{e}\text{l}\text{t}}$