WAEC Physics 2011 Theory — Question 17
Question 17 of 39 from the West African Examinations Council (WAEC) Physics 2011 Theory paper, with the correct answer and a full explanation.
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11(b)(ii) To calculate the resultant of the vectors, we must get the vector resultants for both the horizontal and vertical components.
Model answer
Resultant of the vectors V = sqrt(Vx²+Vy²) = sqrt((-14.12)²+(-2.88)²) = sqrt(199.37+8.29) = sqrt(207.66) = 14.4 m/s. Direction θ = tan⁻¹(2.88/14.12) = 11.53°, so v = 14.4m/s, W11.53°S or S78.65°W.
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