MATLAB question The range of a projectile launched at velocity V and angle q is R=2...

MATLAB question

The range of a projectile launched at velocity V and angle q

is R=2 V² sin(q) cos(q)

Find the range if V=20m/s and q=30 degrees (5 pts)
If the uncertainty in the launch angle q = 30 +/- 2 degrees, what is the uncertainty of the range

What should the accuracy of the launch angle have be to keep the uncertainty of the range to within 5%.

Expert Solution

%Matlab code forprojectile range
clear all
close all
%formula for Range of projectile motion
R=@(v,q) (v^2*sin(2*q))/9.8;
fprintf('\tFormula for Range of projectile motion= (v^2*sin(2*q))/9.8\n')
rr=R(20,deg2rad(30));
fprintf('For v=20 and q=30 degree the range =%f m\n',rr)

un1=R(20,deg2rad(32));
un2=R(20,deg2rad(28));

fprintf('Uncertainity of range for launch angle (30+-2) is %f to %f\n',un1,un2)

%%%%%%%%%%%%%%%%%% End of Code %%%%%%%%%%%%%%%

Colby Messinger answered 2 years ago

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