Question

Bend It Like Beckham

Andre, Juana, Kevin and Emike go to a soccer day at the LA Galaxy's training held at the StubHub Center
The coach has a computer and video system that can track the height and distance of their kicks. All four soccer players
are practicing up-field kicks, away from the goal.
Andre goes first and takes a kick starting 12 yerds out from goal. His kick reaches a maximum height of 17 yards and lands
48 yards from the
Juana goes next and the computer gives the equation of the path of her kick asy-x+14-24, where yis the height
of the ball in yards and is the horizontal distance of the bell from the goal fine in yards.
After Kevin takes his kick, the coach gives him a printout of the path of the ball:
Finally Emiko takes her kick but the computer has a problem and can only
give her a partial table of data points of the ball's trajectory.
Emiko's fable
Distance from the goal line in yards 10
Height in yards
0
11
14
15
16
13
4.7 8.75 12.2 15 17.2 18
+
17 18
19.7 20
VEMA
The computer is still not working but Andre, Juana, Kevin and Emiko want to know who made the best kick.
Who made the best kick? Support your answer with mathematical evidence.
Kevin's Kick
12
19 20
19.718.7

Answer 1

To determine who made the best kick, we need to compare the distances and heights of the kicks.

Andre's kick reached a maximum height of 17 yards and landed 48 yards from the goal.

Juana's kick followed the path y = -x + 14 - 24, where y is the height of the ball in yards and x is the horizontal distance of the ball from the goal line in yards. We can see from the graph that her kick landed approximately 38 yards from the goal and had a maximum height of 14 yards.

Kevin's kick is represented by the graph, which shows that his kick landed approximately 19 yards from the goal and had a maximum height of 20 yards.

Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.

Based on these measurements, Kevin's kick went the farthest, landing closest to the goal line. Additionally, Kevin's kick went the highest, reaching a maximum height of 20 yards. Therefore, Kevin made the best kick.