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WAEC Physics 2021 Theory — Question 4

Question 4 of 35 from the West African Examinations Council (WAEC) Physics 2021 Theory paper, with the correct answer and a full explanation.

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3. A projectile is fired at an angle of 30° to the horizontal with a velocity of 40 ms⁻¹. Calculate the velocity attained after 1 s. [g=10 ms⁻²]

Model answer

Horizontal component ux=ucos30°=40×0.866=34.6 m/s (unchanged during flight). Vertical component after 1s: vy=usin30°-gt=40×0.5-10×1=10 m/s. Resultant velocity v=√(ux²+vy²)=√(34.6²+10²)≈36.0 ms⁻¹.

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