A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 4.00 m to the north, 2.00 m northeast, and 1.00 m at 30.0 degrees west of south. Starting at the same initial point, an expert golfer could make the hole in what single displacement?

Aneeka Hunt

Aneeka Hunt

Answered question

2020-10-25

A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 4.00 m to the north, 2.00 m northeast, and 1.00 m at 30.0 degrees west of south. Starting at the same initial point, an expert golfer could make the hole in what single displacement?

Answer & Explanation

Cullen

Cullen

Skilled2020-10-26Added 89 answers

r=r1+r2+r3=[r1cosθ1i^+r1sin(θ1j^]+[r2sinθ2i^+r2sinθ2j^]+[r3cosθ3i^+r3sinθ3j^]
=[4cos(90)+2cos(45)+1cos(120)i]+[4sin(90)+2sin(45)+1sin(120)]j
=(212)i^+(4+2+32)j^
θ=tan1(ryrx)

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