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. If the flow is

constant with $V_1=8\frac{m}{s}$ at $x_1=0$ and $V_2=24\frac{m}{s}$ at $x_2=1m,$ determine

$($a$)$ the local acceleration;

$($b$)$ the acceleration magnitude of the fluid at point $(1)$;

$($c$)$ the acceleration magnitude of the fluid at point $(2).$

$($a$)a=$

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

$($b$)a(1)=$

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

$($c$)a(2)=$

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