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WAEC Physics 2022 Theory — Question 1

Question 1 of 12 from the West African Examinations Council (WAEC) Physics 2022 Theory paper, with the correct answer and a full explanation.

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PART I 1. The diagram below illustrates the trajectory of a fired missile from point P at 250ms⁻¹, launched at an angle to the horizontal. If the missile hits point Q after 40s, calculate the distance |PQ|.

Model answer

Given: Time of flight, T=40s, u=250m/s, θ=42° (angle of projection). Distance |PQ| = range of projection = uₓT, where uₓ=u cosθ. |PQ| = u cosθ × T = 250 cos42° × 40 = 7431 m.

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