C Exercise Example 20 - Free Fall of a Ball
Title:A ball falls freely from a height of 100 meters. After each landing, it rebounds to half of its original height, then falls again. Find: by the time of the 10th landing, how many meters has it traveled in total? How high is the 10th rebound?
Program analysis:See notes below.
Program source code:
Example
#include <stdio.h>
#define INITIAL_HEIGHT 100.0
#define BOUNCE_COUNT 10
int main()
{
double h = INITIAL_HEIGHT;
double s = INITIAL_HEIGHT;
// First rebound height
h /= 2;
// Calculate subsequent rebound heights and total distance
for (int i = 2; i <= BOUNCE_COUNT; i++) {
s += 2 * h;
h /= 2;
}
// Output the result, specifying 2 decimal places
printf("When landing for the %d time, the total distance traveled is %.5f meters, and the height of the %d rebound is %.5f meters.\n", BOUNCE_COUNT, s, BOUNCE_COUNT, h);
return 0;
}
The output of the above example is:
第10次落地时，共经过299.60938米，第10次反弹高0.09766米other extensions