matlab投掷出最远的三个球在空中运动轨迹
时间: 2023-06-27 22:02:33 浏览: 68
假设投掷的三个球的初始速度、仰角和重力加速度都相同,可以使用以下 MATLAB 代码生成它们的运动轨迹:
```matlab
% Constants
g = 9.81; % gravitational acceleration in m/s^2
v0 = 40; % initial velocity in m/s
theta0 = 45; % initial angle in degrees
% Time vector
t = linspace(0, 5, 1000); % from 0 to 5 seconds with 1000 time steps
% Horizontal and vertical components of velocity
vx0 = v0 * cosd(theta0);
vy0 = v0 * sind(theta0);
% Trajectories
x1 = vx0 * t;
y1 = vy0 * t - 0.5 * g * t.^2;
x2 = vx0 * t;
y2 = vy0 * t - 0.5 * g * t.^2;
x3 = vx0 * t;
y3 = vy0 * t - 0.5 * g * t.^2;
% Plot
figure
plot(x1, y1)
hold on
plot(x2, y2)
plot(x3, y3)
title('Projectile Motion of Three Balls')
xlabel('Horizontal Distance (m)')
ylabel('Vertical Distance (m)')
legend('Ball 1', 'Ball 2', 'Ball 3')
```
这段代码假设三个球的初始速度为 40 m/s,仰角为 45 度,重力加速度为 9.81 m/s^2,投掷时间为 5 秒,并生成一个包含三个运动轨迹的图表。你可以根据需要更改这些常量来生成不同的运动轨迹。