Advanced Maths (Vectors) AQA Level, please help?

Two ships, A and B st out from port O simultaneously. A travels due north at 16 km/h, B due east at 13 km/h. The ships radio have a rang of 120. For how long would they remain in contact if B had travelled north-east

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asked by jat
  1. Range,r = 120 km
    and since the two ships are travelling at 90° to each other, we use Pythagoras:
    distance, d = sqrt(Va^2+Vb^2)*t
    t=time in hours
    Va = speed of ship A
    Vb = speed of ship B
    In other words, the ships are in range as long as
    d<r,
    t√(Va²+Vb²)< 120
    t<120/(√(Va²+Vb²))

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