Situation A Football S Strategy Analyst Is Tasked To Make An Analysis For The Series Of Angles And Initial Velocity For 1 (55.23 KiB) Viewed 43 times
Situation: A football's strategy analyst is tasked to make an analysis for the series of angles and initial velocity for striker and winger to make a flawless goal. If a particle projected with initial velocity (vo) at an angle (9) to the horizontal from a point on level ground, the range (Xmax) is defined as the distance from the point of projection to the point at which the particle reaches the ground again. y Where, X Figure A: Illustration of projectile motion The horizontal distance (Xmax) and vertical distance (max) can be calculated using the formulae: vo² sin 20 g Ball launcher g = the acceleration in Xmax = = angle of the point of projection in radian (Orad = 0deg * π/180) m due to gravity s² The total time for that particle displaced: Ymax Tsxmax vo² sin 8² 2g vo 2 sin 8 g Where the time for displacements for horizontal and vertical directions: 2vo sin 0 g Ttotal Tsymax Tsxmax 2
Problem statement: In the project, suppose you as Mechanical Engineer you are given a task to make a analysis using MATLAB/OCTAVE software, by designing a BALL LAUNCHER machine that can be used for training for the football team. You have to make a m-script file, export the output file and plot the series of graph. The machine should consider two variables: a projectile for several angles of projection, and initial velocity for the ball launching, vo. Finally, from the plotted graphs and analysis, you should suggest the horizontal distance (Xmax) and vertical distance (ymax) for the machine, with respect to the and voin a report. The ranges of the 9 and vo are shown in Table 1: Table 1: Specifications of the ball launcher's variables Range of specification 30 m/s to 65 m/s 20 deg to 70 As for the maximum vertical distance of the ball for football's game, the ranges can be referred to The Xmax should be in the range as shown in the Figure B below. (c) Sport Badminton ● Tennis OOO Ping-pong ● Golf Volleyball Soccer O Baseball Handball Basketball Variables vo ง ง Uo/U∞ 20.4 3.3 3.2 1.9 1.8 1.7 1.3 0.75 0.5 250 Lfield (m) 200 150 100 50 Badminton (d) Soccer Handball Basket ● 50 Table tennis Baseball Softball Tennis Volley Golf Lacrosse 150 100 Imaz (m) 200 250
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