A particle's velocity is described by the function $v_x=k{t}^2,$ where $v_x$ is in $\frac{m}{s},t$ is in $s,$ and $k$ is a constant. The particle's position at $t_0=0s$ is $x_0=-5\mathrm{.}10m.$ At $t_1=1\mathrm{.}00s,$ the particle is at $x_1=9\mathrm{.}00$ m$.$

Determine the units of $k$ in terms of $m$ and $s.$

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Part B

Determine the value of the constant $k.$

Express your answer in meters per second cubed to thre

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