|
Question 1184857: Please help me to solve this.
Problem 1: two similarly-charged particles are propelled towards each other as shown. Instead of colliding, they repel each other and take hayperbolic paths.if the equation of the hyperbola is x²-y²=16,how many units away are they from each other when they are at their closest?
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The hyperbola x^2-y^2=16 has its center at (0,0), and the two branches open right and left.
By symmetry, the points on the two branches that are closest together are when y=0.
Substituting y=0 in the equation gives x=-4 and x=4, so the points on the two branches that are closest together are (-4,0) and (4,0).
So the closest together the two branches of the parabola are is 8 units.
|
|
|
| |
