$.$ A soccer ball is kicked with an initial horizontal speed of $5\frac{m}{s}$ and an initial vertical speed of $3\frac{m}{s}.$ Assuming that projection and landing height are the same and neglecting air resistance, identify the following quantities:

a$.$ The ball's horizontal speed $0\mathrm{.}5$ seconds into its flight

b$.$ The ball's horizontal speed midway through its flight

c$.$ The ball's horizontal speed immediately before contact with the ground

d$.$ The ball's vertical speed at the apex of its flight

e$.$ The ball's vertical speed midway through its flight

f$.$ The ball's vertical speed immediately before contact with the ground