How do I make a code for projectile motion having initial velocity and angle as an output and final distance as an input

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Rafay 2023-6-18

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回答： Lakshya 2023-6-18

input Max distance

ouput optimum angle and initial velocity

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Answer 1

Lakshya 2023-6-18

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Hi,

If the input is final distance and according to you it is the Max distance (assuming you are talking about max distance that can be covered ) then we can directly say that the projection angle is 45 degrees ( using basic physics ) and from there we can easily calculate the intial velocity using the below code

function [initial_velocity, launch_angle] = projectileMotion(max_distance)
    gravity = 9.81;  
    initial_height = 0;  % Assume the projectile starts from the ground level
    
    launch_angle = 45;
    
    % Convert launch angle to radians
    launch_angle_rad = deg2rad(launch_angle);
    
    % Calculate the initial velocity required to reach the max distance
    initial_velocity = sqrt((max_distance * gravity) / sin(2 * launch_angle_rad));
end