a ship A is travelling due east at a speed of 8m/s and a ship B is travelling due south at 10m/s. At an instant when A is 3km from B in a direction 060 a motor boat leaves A and travels in a straight line to B with speed 14m/s(adsbygoogle = window.adsbygoogle || []).push({});

1) show it reacges B in 500 seconds

2)if upon reaching B the motor boat immediately returns back to A in a straight line,again with speed 14,find the time taken for the return journey.

i need a diagram here to get started. book im working through is no help :(

im thinking:

distance triangle: if C is point where motorboat meets B then have

AB=3

angle ABC=X say

velocity triangle:

Vb=velocity of B

Vm=velocity of motorboat

then

i have Vb pointing down, -vm at an angle up from bottom of vb and vb-vs makes other side

then angle between vb and vb-vs=180-x

but now not sure how to proceed so thinking my pictures are wrong or im totally missing something. i seem to need another angle or length?

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# Relative motion

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