Answer
(a) Magnitude of vector is $6\,\mathrm{m/s}$.
(b) y-component of vector is $3.6\,\mathrm{m/s}$.
Work Step by Step
(a) The x-component is given by -
$v_x=|v|\cos\theta$
where, $\theta$ is the angle of the vector to the x-axis.
Here, $v_x=4.8\,\mathrm{m/s}$ and $\theta=37^{\circ}$.
Thus, magnitude $|v|=\frac{v_x}{\cos \theta}=\frac{4.8}{\cos37^{\circ}}=6\,\mathrm{m/s}$
(b) The y-component is given by -
$v_y=|v|\sin\theta=6\sin37^{\circ}=3.6\,\mathrm{m/s}$
