Please help me to write code for this problem .

Question

The height h(t) and speed S(t) of a projectile (such as a kicked soccer ball, or a rocket) launched with
an initial speed S0 at an angle A to the horizontal are given by
2 2
0
2
0
2
0
S(t) S 2S gtsin(A) g t
h(t) S tsin(A) 0.5gt
= ! +
= !
where g is the acceleration due to gravity. The projectile will strike the ground when h(t)=0 which
gives the time to hit t 2(S / g)sin(A) hit = 0 .
• Write a MATLAB program that computes the hit time for a given initial speed and angle, and
displays the hit time and the speed of the rocket when it hits the ground.
• Store the program in a script file called rocket.m and run it.
Note: you can compute square roots using the MATLAB function sqrt . Do not forget to include
comments and a header, use meaningful variable names and indentation when appropriate.

Answer 1

Attempt

Answer 2

Thank you

Answer 3

% Values for speed, gravity and angles
s0 = 20; g = 9.81; A = 40*pi/180;
% Hit time
t_hit = 2*s0*sin(A)/g;
% Computing arrays of (time, height, and speed.)
t = 0:t_hit/100:t_hit;
h = s0*t*sin(A) - 0.5*g*t.^2;
s = sqrt(s0^2 - 2*s0*g*sin(A)*t + g^2*t.^2);
% height determination not less than 6.
% speed not greater than 16.

u = find(h >= 6 & s <= 16);
% Compute the time.
t_1 = (u(1) - 1)*(t_hit/100);
t_2 = u(length(u) - 1)*(t_hit/100);