Exercise $6\mathrm{.}1.$ Assuming a parabolic trajectory for the ball and an elevation angle

of $/6,$ whether or not it is $($theoretically$)$ possible to score from a given point on the

field will depend on the initial speed. The following simple exercises should help to

clarify this issue.

$($i$)$ Determine the region of the field from which it is not possible to score, no

matter what the initial speed is$.$

$($ii$)$ What is the initial speed a player must be able to impart to the ball in order

to be able to score from at least one point in the field? Determine those

points.

$($iii$)$ For a given initial speed $($larger than the speed determined in $($ii$),$ what is

the range from which it is possible to score?