A nozzle is designed to accelerate the fluid from $V_1$ to $V_2$ in a linear fashion. That is$,V=ax+b,$ where a and $b$ are constants. Assume

that the flow is not steady, but at the time when $V_1=11\frac{m}{s}$ at $x_1=0$ and $V_2=23\frac{m}{s}$ at $x_2=1$ it is known that del$\frac{V_1}{d}$elt$=19\frac{m}{s^2}$ and del$\frac{V_2}{?}$

delt$=60\frac{m}{s^2}.$ Determine

$($a$)$ the local acceleration at points $(1)$;

$($b$)$ the local acceleration at points $(2)$;

$($c$)$ the convective acceleration at points $(1)$;

$($d$)$ the convective acceleration at points $(2)$;

$($e$)$ the acceleration of the fluid at points $(1)$;

$($f$)$ the acceleration of the fluid at points $(2).$

$($a$)a_{\text{l}\text{o}\text{c}\text{a}\text{l}}(1)=$

$\frac{m}{s^2}$

$($b$)a_{\text{l}\text{o}\text{c}\text{a}\text{l}}(2)=$

$\frac{m}{s^2}$

$($c$)a_{\text{c}\text{o}\text{n}}(1)=$

$\frac{m}{s^2}$

$($d$)a_{\text{c}\text{o}\text{n}}(2)=$

$\frac{m}{s^2}$

$($e$)a_{fl}(1)=$

$\frac{m}{s^2}$

$($f$)a_{fl}(2)=$

$\frac{m}{s^2}$