- #1
jiboom
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a ship A is traveling due east at a speed of 8m/s and a ship B is traveling 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
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 I am 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 I am totally missing something. i seem to need another angle or length?
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 I am 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 I am totally missing something. i seem to need another angle or length?