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MATLAB Repeat the projectile exercise we did in lecture (result in demos- symPro

ID: 3573255 • Letter: M

Question

MATLAB

Repeat the projectile exercise we did in lecture (result in demos- symProj.m) this time with fully parameterized symbolic functions. Example dx = vo * t * cos (ang) becomes dx (vo, t, ang) = v0 * t * cos (ang) and must be done for dy, dist, and distAng

The demo it is refering to is as follows

syms v0 t ang g

dx = v0 * t * cos(ang)
dy = v0 * t * sin(ang) - 1/2 * g * t^2

tt = solve(dy, t)

dist = subs(dx, t, tt(2))

distAng = subs(dist, {v0, g}, {98, 9.8})

% Bonus Calculus stuff

diff(distAng)

solve(ans)

Explanation / Answer

syms v0 t ang g
dx(v0,t,ang) = v0 * t * cos(ang)
dy(v0,t,ang) = v0 * t * sin(ang) - 1/2 * g * t^2
tt = solve(dy, t)
dist(v0,t,ang) = subs(dx, t, tt(2))
distAng(v0,t,ang) = subs(dist, {v0, g}, {98, 9.8})
% Bonus Calculus stuff
diff(distAng)
%solve(ans)