Could you help me solve this question please using Matlab, and we have to use sy

Question

Could you help me solve this question please using Matlab, and we have to use symbolic to solve this

2) From elementary physics, we know that the distance a projectile travels horizontally is d, vot cos (0) and the distance traveled vertically is: (6)- gt d, vot sin where vo is the velocity at launch, t is the time, e is the launch angle and g is gravity Use these equations to derive an equation for the distance the projectile has traveled horizontally when it hits the ground (i.e., its range) 3) Using the equation for that you found for range and voJ100 m/s and g 9.8 m/s2, plot the range vs the angle of release 4) Use Matlab to find the maximum range/optimal launch angle.

Explanation / Answer

Here is the code for you:

clc,clf,clear

g=9.81; theta0=45*pi/180; v0=5;

t(1)=0;x=0;y=0;

plot(x,y,'o','MarkerFaceColor','b','MarkerSize',8)

axis([0 3 0 0.8])

M(1)=getframe;

dt=1/128;

for j = 2:1000

t(j)=t(j-1)+dt;

x=v0*cos(theta0)*t(j);

y=v0*sin(theta0)*t(j)-0.5*g*t(j)^2;

plot(x,y,'o','MarkerFaceColor','b','MarkerSize',8)

axis([0 3 0 0.8])

M(j)=getframe;

if y<=0, break, end

end

pause

movie(M,1)

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