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Lubnow_Brian_HW_11

# Lubnow_Brian_HW_11 - 12R-CF ENGE1114-HW 11 Lubnow Brian...

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12R-CF 11/7/2011 ENGE1114-HW 11 Lubnow, Brian PROBLEM STATEMENT: Prepare a Matlab program for an algorithm to analyze projectile motion DIAGRAM: SOLUTION: %Prepared by Brian Lubnow on 11/6/11 %Program designed to analyze the trajectory of a projectile clear; clc; g= 32.1740486; v=input( 'Enter the initial velocity in ft/sec: ' ); a=input( '\nEnter the launch angle in degrees: ' ); i=input( '\nEnter the desired time increment: ' ) fprintf( '\n\n Projectile position over time \n' ) fprintf( '________________________________________________________\n' ); fprintf( ' V0= %.2f ft/sec, Launch angle= %.2f deg\n' ,v,a); fprintf( '________________________________________________________\n' ); fprintf( ' Time (s) X(t) Y(t)\n' ); k1=v*sind(a); k2=k1/g; k=2*k2; for t=0:i:k x= v*cosd(a)*t; y1= v*sind(a)*t; t2=t^2; y2=.5*g*t2; y =y1-y2; fprintf( ' %5.2f %8.2f %8.2f\n' ,t,x,y); end xf= v*cosd(a)*k; fprintf( '\n The total time in the air= %.2f' ,k) fprintf( '\n The final x position of the projectile= %.2f' ,xf) RESULTS Enter the initial velocity in ft/sec: 15 Enter the launch angle in degrees: 60 Enter the desired time increment: .05 Projectile position over time ________________________________________________________ V0= 15.00 ft/sec, Launch angle= 60.00 deg ________________________________________________________ Time (s) X(t) Y(t) 0.00 0.00 0.00 0.05 0.38 0.61

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12R-CF 11/7/2011 ENGE1114-HW 11 Lubnow, Brian 0.10 0.75 1.14 0.15 1.13 1.59 0.20 1.50 1.95 0.25 1.87 2.24 0.30 2.25 2.45 0.35 2.63 2.58 0.40 3.00 2.62 0.45 3.37 2.59 0.50 3.75 2.47 0.55 4.13 2.28 0.60 4.50 2.00 0.65 4.88 1.65 0.70 5.25 1.21 0.75 5.62 0.69 0.80 6.00 0.10 The total time in the air= 0.81 sec The final x position of the projectile= 6.06 ft
12R-CF

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Lubnow_Brian_HW_11 - 12R-CF ENGE1114-HW 11 Lubnow Brian...

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