Final answer:
A smaller angle is preferable for an archer due to the reduced effect of wind. A larger angle may be necessary to reach higher targets or clear obstacles. Punters in football use a higher trajectory to maximize hang time for the coverage team.
Step-by-step explanation:
The range of a projectile, such as an arrow, is determined by the angle at which it is fired. When considering factors that may affect an archer's ability to hit a target, such as wind, a smaller angle (closer to the horizontal) is preferable because it minimizes the effect of the wind on the arrow. This is because a lower angle minimizes the time of flight and the vertical displacement of the arrow, reducing the chances of the wind blowing it off course.
However, there are situations where the archer may need to use a larger angle. One such situation is when the target is at a higher elevation than the archer, where a higher launch angle is required to reach the target. Another situation is when the archer needs to clear an obstacle, such as a wall or a tree. In these cases, a larger launch angle is necessary to achieve the desired range.
In football, a punter uses a higher trajectory when kicking the ball to increase the hang time and give the coverage team more time to get downfield and prevent a long return by the receiving team. By kicking the ball higher, the punter sacrifices some distance but gains more time for the coverage team to reach the returner.