Final answer:
A goalkeeper with an initial ball speed of 30 m/s would face challenges in kicking a soccer ball into the opponent's goal 95 meters away without it touching the ground due to factors such as angle of launch. For shorter kicks such as 20 meters back to the goalie, the displacement over time graph would be akin to that of a hockey puck's motion.
Step-by-step explanation:
When considering whether a goalkeeper can kick a soccer ball from their goal into the opponent's goal without the ball touching the ground across a distance of about 95 meters, we need to analyze it from a physics standpoint. This involves projectile motion where the ball is given an initial speed of 30 m/s. Using the formulas for projectile motion, we could determine if the ball can cover the distance and the trajectory it would take. However, for a distance of 95 meters to be covered, the initial speed and angle of launch become critical factors, and most goalkeepers are not likely to kick the ball that far without any intervening contact with the ground or another player.
In the case of the soccer ball being kicked back to the goalkeeper over a distance of 20 meters and coming to a stop, the displacement over time graph would indeed be similar to that of a hockey puck, showing a constant increase in displacement as time progresses until the ball reaches the goalkeeper and the displacement becomes constant.