Fundamental Problem $3\mathrm{.}5$

A flow field shown in $($Figure $1)$ is delined by

$u=(6x+2t^2)\frac{m}{s}$ and $v=(2y^3+14t)\frac{m}{s},$ where

$x$ and $y$ are in meters and $t$ is in seconds.

Figure

Part A

Determine the magnitude of the local acceleration of a particle at

point $x=3m,y=1m$ if it arrives when $t=2s.$

Express your answer to three significant figures and include the

appropriate units.

$a_{\text{l}\text{a}\text{r}\text{a}\text{l}}=$

Part B

Determine the magnitude of the convecive accelerasion of a particle

at point $x=3m,y=1m$ if it arrives when $t=2s.$

Express your answer to three significant figures and inclucle the

appropriate units.

$a_{cosv}=$