Situation: A football's strategy analyst is tasked to make an analysis for the series of angles and initial velocity for

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Situation A Football S Strategy Analyst Is Tasked To Make An Analysis For The Series Of Angles And Initial Velocity For 1 (201.54 KiB) Viewed 27 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 (1) 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. Figure A: Illustration of projectile motion The horizontal distance (Xmax) and vertical distance (max) can be calculated using the formulae: Vo² sin 20 9 Where, Ball launcher Problem statement: = angle of the point of projection in radian (@rad=8deg *n/180) m g - the acceleration in due to gravity s² The total time for that particle displaced: Sport Badminton Tennis Where the time for displacements for horizontal and vertical directions: 2v sin 0 9 Texmax 2 Taxmax= Ping-pong Golf Volleyball Soccer Baseball Handball Basketball Xmax Утак Variables Vo 9 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, o. Finally, from the plotted graphs and analysis, you should suggest the horizontal distance (Xmax) and vertical distance (max) for the machine, with respect to the and in a report. The ranges of the and 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 Uo/U Trotal 18 As for the maximum vertical distance of the ball for footh game, the ranges can be referred to The Xmax should be in the range as shown in the Figure B below. 1.7 13 0.75 0.5 250 Lield (m) Vo² sin 0² 2g 200 150 ¹2 sin 8 9 100 50 Badminton Tsymax= (d) Soccer Handball Basket Baseball Table tennis Softball Tennis Volley 50 100 Lacrosse 150 Golf Imas (m) 200 250