Part A

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

$u=(5x+2t^2)\frac{m}{s}$ and $v=(2y^3+14t)\frac{m}{s},$ where

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

Figure

$1$ of $1$

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.

Units

Part B

Determine the magnitude of the convective 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.

$a_{\text{c}\text{o}\text{n}\text{v}}=$ Value $,$ Units