问题:一球从某高度*落下,每次落地后反跳回原高度的一半;再落下,求它在第n次落地时,共经过多少米?第n次反弹多高?

import java.util.Scanner;

//题目:一球从100米高度*落下,每次落地后反跳回原高度的一半;再落下,求它在第10次落地时,共经过多少米?第10次反弹多高?
public class BallTest {
public static void main(String[] args) {
double firsthight;
int n;
Scanner in = new Scanner (System.in);//从键盘读取两个数据
System.out.println("请输入从多少米落下:");
firsthight = in.nextDouble();
System.out.println("请输入第几次落下:");
n = in.nextInt();
System.out.println("从"+firsthight+"m"+"第"+n+"次落地经过的距离"+countTotalLong(n,firsthight)+"m");
System.out.println("从"+firsthight+"m"+"第"+n+"次反弹高度"+countHeight(n,firsthight)+"m");
}
public static double countTotalLong(int n,double firsthight){//计算总的路径
double totalLong =firsthight;
for(int i = 0;i<n-1;i++){
totalLong += firsthight/(double)(Math.pow(2,i));
}
return totalLong;
}
public static double countHeight(int n,double firsthight){ //计算每次反弹高度
return firsthight/(double)(Math.pow(2,n));
}
}
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