$$ \begin{cases}
t &= 0.50\ut{min}\\
v_{C0} &= 15\ut{km/h}\\
v_{C1} &= 45\ut{km/h}\\
v_{B0} &= 0\\
v_{B1} &= 30\ut{km/h}\\
\end{cases} $$
$$ \begin{aligned}
v&=v_0+at,\\
\end{aligned} $$
$$\ab{a}$$
$$ \begin{aligned}
a&=\frac{v-v_0}{t}\\
&=\frac{(45\ut{km/h})-(15\ut{km/h})}{0.50\ut{min}}\cdot\frac{60\ut{min}}{1\ut{h}}
\\
&=3600\ut{km/h^2}\\
&=3600\ut{km/h^2}\cdot\frac{1000\ut{m}}{1\ut{km}}\cdot\(\frac{1\ut{h}}{3600\ut{sec}}\)^2\\
&=\frac{5}{18}\ut{m/s^2}\\
&\approx0.2777777777777778\ut{m/s^2}\\
&\approx0.28\ut{m/s^2}\\
\end{aligned} $$
$$\ab{b}$$
$$ \begin{aligned}
a&=\frac{v-v_0}{t}\\
&=\frac{(30\ut{km/h})-(0)}{0.50\ut{min}}\cdot\frac{60\ut{min}}{1\ut{h}}\\
&=3600\ut{km/h^2}\\
&=3600\ut{km/h^2}\cdot\frac{1000\ut{m}}{1\ut{km}}\cdot\(\frac{1\ut{h}}{3600\ut{sec}}\)^2\\
&=\frac{5}{18}\ut{m/s^2}\\
&\approx0.2777777777777778\ut{m/s^2}\\
&\approx0.28\ut{m/s^2}\\
\end{aligned} $$
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