Uva 10387 Billiard
2014-07-20 15:52
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C - Billiard
Time Limit:3000MS Memory Limit:0KB 64bit IO Format:%lld
& %llu
SubmitStatus
Description
In a billiard table with horizontal side a inches and vertical sideb inches, a ball is launched from the middle of the table. Afters > 0 seconds the ball returns to the point from
which it was launched, after having madem bounces off the vertical sides and
n bounces off the horizontal sides of the table. Find the launching angleA (measured from the horizontal), which will be between 0 and 90 degrees inclusive, and the initial velocity of the ball.
Assume that the collisions with a side are elastic (no energy loss), and thus the velocity component of the ball parallel to each side remains unchanged. Also, assume the ball has a radius of zero. Remember that, unlike pool tables, billiard tables have
no pockets.
Input
Input consists of a sequence of lines, each containing five nonnegative integers separated by whitespace. The five numbers are: a, b, s, m,
and n, respectively. All numbers are positive integers not greater than 10000.
Input is terminated by a line containing five zeroes.
Output
For each input line except the last, output a line containing two real numbers (accurate to two decimal places) separated by a single space. The first number is the measure of the angle A in degrees and the second is the velocity of the
ball measured in inches per second, according to the description above.
Sample Input
Sample Output
题目大意:
给你5个数字,分别是台球桌的长,台球桌的宽,台球运动的时间,台球碰到竖直面的次数,台球碰到水平面的次数。
注意:在碰撞的过程中能量不损耗。
求夹角和速度
题目解析:
就是根据长宽,时间和碰的次数,算出水平运动了多远,垂直运动了多久,再用三角函数求角度和速度。
Time Limit:3000MS Memory Limit:0KB 64bit IO Format:%lld
& %llu
SubmitStatus
Description
In a billiard table with horizontal side a inches and vertical sideb inches, a ball is launched from the middle of the table. Afters > 0 seconds the ball returns to the point from
which it was launched, after having madem bounces off the vertical sides and
n bounces off the horizontal sides of the table. Find the launching angleA (measured from the horizontal), which will be between 0 and 90 degrees inclusive, and the initial velocity of the ball.
Assume that the collisions with a side are elastic (no energy loss), and thus the velocity component of the ball parallel to each side remains unchanged. Also, assume the ball has a radius of zero. Remember that, unlike pool tables, billiard tables have
no pockets.
Input
Input consists of a sequence of lines, each containing five nonnegative integers separated by whitespace. The five numbers are: a, b, s, m,
and n, respectively. All numbers are positive integers not greater than 10000.
Input is terminated by a line containing five zeroes.
Output
For each input line except the last, output a line containing two real numbers (accurate to two decimal places) separated by a single space. The first number is the measure of the angle A in degrees and the second is the velocity of the
ball measured in inches per second, according to the description above.
Sample Input
100 100 1 1 1 200 100 5 3 4 201 132 48 1900 156 0 0 0 0 0
Sample Output
45.00 141.42 33.69 144.22 3.09 7967.81
题目大意:
给你5个数字,分别是台球桌的长,台球桌的宽,台球运动的时间,台球碰到竖直面的次数,台球碰到水平面的次数。
注意:在碰撞的过程中能量不损耗。
求夹角和速度
题目解析:
就是根据长宽,时间和碰的次数,算出水平运动了多远,垂直运动了多久,再用三角函数求角度和速度。
#include <stdio.h> #include <math.h> const double PI = acos(-1.0); int main() { double a,b,s,m,n; while(scanf("%lf%lf%lf%lf%lf",&a,&b,&s,&m,&n) != EOF && (a||b||s||m||n)) { double ang = atan( (n*b)/(m*a) ) * 180 /PI; double v = sqrt((a*m)*(a*m) + (b*n)*(b*n)) / s; printf("%.2lf %.2lf\n",ang,v); } return 0; }
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