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% This script calculates the trajectory of a ballistic projectile.
% Projectile starts at location (0,0) in the x-y plane
% Initial velocity is 125 m/s at a 60 degree angle to the horizontal
% No air resistance
% Flat surface
% Ballistic projectile equations:
% x(t) = 1/2*ax*t^2 + vx*t + x0
% y(t) = 1/2*ay*t^2 + vy*t + y0
% Initialize variables with physical values
g = 9.81; % m/s^2 (gravitational constant)
theta = 60; % degrees (projectile launch angle)
v0 = 125; % m/s (projectile launch speed)
ax = 0; % m/s^2 (assume no acceleration in x direction)
ay = -g; % m/s^2 (assume only gravity affects projectile)
vx = v0 * cosd(theta); % m/s (component of velocity in x direction)
vy = v0 * sind(theta); % m/s (component of velocity in y direction)
x0 = 0; % m (initial projectile x coordinate)
y0 = 0; % m (initial projectile y coordinate)
% ***** Determine maximum projectile range *****
% Find t at which y(t) is zero.
% 0 = 1/2*ay*t^2 + vy*t + y0
% 0 = t*(1/2*ay*t+vy)...
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