A particle starts at the origin and undergoes three displacements: 10 m at 60° from +x, 10 m at 120° from +x, and 10 m vertically downward. Find the resultant displacement.
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A particle starts at the origin and undergoes three displacements: 10 m at 60° from +x, 10 m at 120° from +x, and 10 m vertically downward. Find the resultant displacement.

G1 Physics · Accepted Answer

First two vectors have x-components +5 and −5, which cancel; their y-components add to 10√3. The third displacement is −10ĵ. Hence resultant=10(√3−1)ĵ m.