Just for Fun

[Tom22]

A helicopter flies horizontally at an altitude of 1 mile above the ground with a speed of 120 mi/h. At a certain moment during the flight it passes directly over a VOR station. How fast is the distance between the helicopter and the VOR station increasing 1 minute later?

[Flying Pig]

That's not funny

[Diesel5187]

2.23606 miles away after one minute.

[Tom22]

2.23606 miles away after one minute.

 

You have the right triangle part figured out.

[WolftalonID]

I cant seem to find it on my GPS....do I need to get out my wiswheel?

[Diesel5187]

 

You have the right triangle part figured out.

 

But am I right? XD

[Tom22]

I cant seem to find it on my GPS....do I need to get out my wiswheel?

 

The wiswheel might be helpful.

 

 

But am I right? XD

 

I think you’re on the right track: how fast is the hypotenuse increasing when the time equals 1 minute or (1/60)?

[apacheguy]

A helicopter flies horizontally at an altitude of 1 mile above the ground with a speed of 120 mi/h. At a certain moment during the flight it passes directly over a VOR station. How fast is the distance between the helicopter and the VOR station increasing 1 minute later?

 

If I'm reading this right, the distance is increasing at 120 miles/hour 1 minute later. You asked how fast is the distance increasing, unless your airspeed changed it's still 120.

[Tom22]

 

If I'm reading this right, the distance is increasing at 120 miles/hour 1 minute later. You asked how fast is the distance increasing, unless your airspeed changed it's still 120.

 

Well, the speed of the helicopter is a function of the rate of divergence between the helicopter and the VOR.

[Azhigher]

 

If I'm reading this right, the distance is increasing at 120 miles/hour 1 minute later. You asked how fast is the distance increasing, unless your airspeed changed it's still 120.

Slant range distance.

[Hobie]

Here is a hint. Same question but now at 10mi. altitude. It's not the absolute speed he's after as we know it already --120mi/hr.

 

( don't bust my @#f for the exaggerated alt. just to illustrate concept)

[Tom22]

Think about this:

 

When the helicopter is directly over the VOR at time equals zero the distance between the helicopter and the VOR is increasing at a rate of zero.

[Tom22]

This is my solution to this related rates problem. Thanks for playing along.

[Tom22]

Solution on PDF.

Problem.pdf