A soccer player kicks a ball from ground level with an initial speed

of $20$ m$/$s at an angle of $30$ above the horizontal. Neglecting air resistance, answer

the following questions.

$($a$)$ What are the initial horizontal and vertical components of the ball$$s velocity?

$($b$)$ How long is the ball in the air?

$($c$)$ What is the maximum height reached by the ball?

$($d$)$ What is the horizontal range of the ball?

$($e$)$ If the player runs forward at $5$ m$/$s immediately after kicking the ball, how far from

the kicking point will they be when the ball lands?