Problem $1.$ A tennis player serves the ball at a height $h=2\mathrm{.}5m$ with an initial velocity of $40\frac{m}{s}$ at an angle of $5$ with the horizontal. Determine if a$)$ the ball will clear the net $(15$ marks$)$; b$)$ the ball will land in the service area that extends to $6\mathrm{.}4$ m beyond the net $(10$ marks$).$

Figure $1$