Help plz: find the angle at which the path of a rocket meets the path of an aircraft

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Kamhogo

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Jan 4, 2016
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"The path of a rocket is y=f (x) and the path of an aircraft is y=g (x).
How can you determine the angle at which the path of the rocket crosses
the path of the aircraft?"

I don't know how to find the angle. At first, I thought if I equated g (x) with f (x)
I would find the point at which the two objects meet but it seems too easy. I also
don't know if I should take gravity into account for the rocket, in which case the
function f the (x) would be a parabola. I know the first and second derivatives of both
functions give me the velocity and acceleration of each obects but I don't know how to
use that. Please give me a hint as to how to solve this.
 
Kamhogo said:
"The path of a rocket is y=f (x) and the path of an aircraft is y=g (x).
How can you determine the angle at which the path of the rocket crosses
the path of the aircraft?"

I don't know how to find the angle. At first, I thought if I equated g (x) with f (x)
I would find the point at which the two objects meet but it seems too easy. I also
don't know if I should take gravity into account for the rocket, in which case the
function f the (x) would be a parabola. I know the first and second derivatives of both
functions give me the velocity and acceleration of each obects but I don't know how to
use that. Please give me a hint as to how to solve this.
Click to expand...

The angle between two intersecting curve is generally defined as the angle between the tangents at their point of intersection.
 
Just to be sure I understood well, so first I find the point of intersection of the derivatives of the two functions ( f'(x) = g' (x) ), which gives me a point ( x, y).
Then I calculate the angle between the two derivatives at that point..?
 
Kamhogo said:
Just to be sure I understood well, so first I find the point of intersection of the derivatives of the two functions ( f'(x) = g' (x) ), which gives me a point ( x, y).
Then I calculate the angle between the two derivatives at that point..?
Click to expand...
First find the point of intersection of the two functions [f(x) = g(x)], which gives ...
 
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