For a projectile, fired with a speed of: $,v_0$ and an angle of $$ the positions in Cartesian coordinate system can be provided by:

$x(t)=v_0*Cos()*t$

$y(t)=v_0*sin()*t-\frac{1}{2}*g*t^2$

And the polar coordinate system can be found by:

$r(t)=\sqrt[\phantom{2}]{x(t{)}^2+y(t{)}^2}$

$tan(t)=\frac{y(t)}{x(t)}$

a$)$ Determine $r(t)$ and $(t)$ for the first $25$ seconds when:

$v_0=205\frac{m}{s},={55}^0,g=9\mathrm{.}81\frac{m}{s^2}$

Hint: formulate $x(t)$ and $y(t)$ then use them to calculate $r(t)$ and $.$ Angles are in degree$)$