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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 $V_1=9\frac{m}{s}$ at $x_1=0$ and $V_2=24\frac{m}{s}$ at $x_2=1$ it is known that del$\frac{V_1}{d}$elt$=17\frac{m}{s^2}$ and del$\frac{V_2}{d}$elt $=60\frac{m}{s^2}.$ Determine

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

$($b$)$ the local acceleration airpoints $(2)$;

$($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$)a_f(1)=\frac{m}{s^2}$

$($f$)a_{f1}(2)=$

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