Ship A is 3 km east and 4 km north of ship B. Ship A moves south at 20 km h⁻¹ and ship B moves at 40 km h⁻¹ in a direction 37° north of east. Take east as î and north as ĵ. Which statements are correct?
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Question

Ship A is 3 km east and 4 km north of ship B. Ship A moves south at 20 km h⁻¹ and ship B moves at 40 km h⁻¹ in a direction 37° north of east. Take east as î and north as ĵ. Which statements are correct?

Select all that apply

G1 Physics · Accepted Answer

Using cos37°=4/5 and sin37°=3/5: vᵦ=32î+24ĵ and vₐ=-20ĵ. Thus vₐᵦ=-32î-44ĵ. Initial relative position is 3î+4ĵ, so rₐᵦ=(3-32t)î+(4-44t)ĵ. Hence A,B.