Circles and Distances

Question

Circles and Distances
Problem Description
Task is to calculate the straight line distance between the two objects moving in a circular path. They may move at different velocities. The distance has to be calculated after N seconds.

The figure and commentary below it, explains the problem in detail.

https://www.tcscodevita.com/CodevitaV7/images/Circles%20and%20Distancesimage1.png

We have two point objects B and C at rest on a straight line at a distance r1 and r2 units from a point A. At time t=0 seconds, the objects start moving in a circular path with A at the center with velocity v1 and v2 degrees per second.

Given inputs v1, v2, r1 and r2, calculate the distance between the B and C after N seconds.

Distance should be printed up to an accuracy of 2 places after the decimal point. Use Rounding Half-up semantics.

Input Format
First line contains velocity of object B in degrees per second (v1)

Second line contains distance of object B from A (r1)

Third line contains velocity of object C in degrees per second (v2)

Fourth line contains distance of object C from A (r2)

Fifth line contains time in seconds after which the distance between B and C, is to be measured (N)

Output
The distance between B and C, N seconds after they are set in motion

Constraints

v1, v2, r1, r2 > 0 and all are integer values.

r2 > r1

0 < n <= 100

The objects move in anticlockwise direction

v1, v2 <=360

r2 <= 100

Explanation
Example 1

Input

90

5

270

10

1

Output

15.00

Explanation

After 1 second, the object at B would cover 90 degrees and the object at C would cover 270 degrees. Both the objects would be vertically opposite to each other and would lie in a straight line.

So the distance between them would be equal to the sum of their distance from the origin A=5+10= 15 units

Answer 1

// javascript code -- easily adaptable to any language ^^

function dist_after(v1,r1,v2,r2,n) {
// get cartesian coordinates
r1 = pos(n*v1,r1);
r2 = pos(n*v2,r2);
// get distance
n = Math.hypot(r1.x-r2.x,r1.y-r2.y);
/*
// hypotenuse could be 'manually' done by:
v1 = r1.x - r2.x;
v2 = r1.y - r2.y;
n = Math.sqrt(v1*v1 + v2*v2);
*/
// return rounded distance to 2 digits after dot
return Math.round(n*100)/100;
}

function pos(a,r) {
a = (a/180)*Math.PI; // degrees to radians
return { x: r*Math.cos(a), y: r*Math.sin(a) };
}

console.log(dist_after(90,5,270,10,1));

// Anyway, the image link you provided is not valid...

[ edit ]
code playground: https://code.sololearn.com/Wbp27gD28n5y/#js

Answer 2

Naveen Reddy You have to post some code then you can get help on it. Dont expect that some ethical user make YOUR assignement for you

Answer 3

image link
https://www.tcscodevita.com/CodevitaV7/images/Circles%20and%20Distancesimage1.png

please send me in c language