Question about Invasion Sports
Subject Physical Education
Physical Education
Source Originais Teachy
Originais Teachy
Topic Invasion Sports
Invasion Sports
Difficulty Hard
Hard
(Originais Teachy 2024) - Question Hard of Physical Education
During a study on game strategies in invasion sports, a group of 3rd-year high school students decided to analyze how variations in the launch angle and speed of a ball affect the trajectory and reach of a pass in different circumstances. They used the concept of oblique projectile motion from Physics, which describes the movement of an object projected both horizontally and vertically, and applied the laws of Analytical Geometry to model the trajectories with parametric equations. Considering a field of known dimensions and aiming to make a soccer pass that covers the greatest distance possible, without disregarding air resistance and assuming the field is flat and without inclination, the students need to determine the ideal conditions (launch angle and speed) for the pass. Additionally, they want to compare these conditions with those of a straight pass, disregarding air resistance. Based on the laws of Physics, describe the steps to solve this problem, justifying the choices made at each step and identifying the formulas or physical principles involved.a.
To maximize the range of the pass, the launch angle should be as small as possible, close to 0°, as this reduces the trajectory height and the influence of gravity.
b.
To maximize the distance covered in a soccer pass, consider a launch angle of approximately 45° and a speed that minimizes the range losses due to air resistance, modeling the trajectory with parametric equations and checking the influence of air resistance on the range calculation.
c.
The maximum distance in a soccer pass is always achieved with a launch angle of 90°, regardless of the launch speed.
d.
Air resistance is a factor that does not significantly affect the distance covered in a soccer pass, therefore it can be disregarded in launch analyses.
e.
The launch speed does not influence the distance covered in a soccer pass, with the positioning and angle of the foot at the moment of the kick being more important.
Answer sheet:
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