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Relative Velocity Closest Approach (M3)

Hiya, I'm a bit stuck on part (b) of this question

The mark scheme shows a diagram set up as follows:

Would somebody be able to explain how this diagram has been set up? I'm particularly intrigued in the right angle. Is it the case that for this type of scenario these vectors must always be at right angles? Thanks

This is on the June 2013 AQA M3 paper in case anyone's interested
Original post by foorganders

Would somebody be able to explain how this diagram has been set up? I'm particularly intrigued in the right angle. Is it the case that for this type of scenario these vectors must always be at right angles? Thanks


See attached diagram.

The circle represents all the possible values of -Va, depending on which direction the aircraft flies in. I've put in a couple of possibilities, one in blue and the other in green. In each case the velocity of the helicopter relative to the plane is given by the appropriately coloured line starting at H.

You want this line (representing displacement of H relative to A) to get as close as possible to A.

This happens when the velocity relative to A is tangential to the circle - green line.
(edited 8 years ago)

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