实现自由落体动画的方法有多种,以下是几种不同编程语言和库的示例代码:
1. 使用Python和Matplotlib
```python
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.animation as animation
设置初始参数
g = 9.81 重力加速度 (m/s^2)
h = 100 初始高度 (m)
dt = 0.1 时间步长 (s)
计算下落过程中的位置
def get_positions(h, g, dt):
t = np.arange(0, np.sqrt(2 * h / g), dt)
y = h - 0.5 * g * t2
return t, y
获取时间和位置
time, positions = get_positions(h, g, dt)
创建动画
fig, ax = plt.subplots()
line, = ax.plot([], [], 'bo', markersize=10)
ax.set_xlim(-1, 1)
ax.set_ylim(0, h + 10)
ax.set_xlabel('水平位置 (m)')
ax.set_ylabel('高度 (m)')
ax.set_title('自由落体实验动画')
def init():
line.set_data([], [])
return line,
def update(frame):
line.set_data(time[:frame+1], positions[:frame+1])
return line,
ani = animation.FuncAnimation(fig, update, frames=len(time), init_func=init, blit=True)
plt.show()
```
2. 使用Java
```java
import java.util.Scanner;
public class FreeFall {
public static void main(String[] args) {
System.out.println("请输入弹跳次数:");
Scanner in = new Scanner(System.in);
int N = in.nextInt();
in.close();
int high = 10000;
for (int i = 0; i < N; i++) {
high /= 2;
if (high == 0) {
System.out.println("第" + (i + 1) + "次反弹后,球体落地");
break;
}
}
if (high != 0) {
System.out.println(N + "次反弹后,当前球体的高度是:" + high);
}
}
}
```
3. 使用JavaScript和Canvas
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