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WAEC Physics 2025 Theory — Question 3

Question 3 of 34 from the West African Examinations Council (WAEC) Physics 2025 Theory paper, with the correct answer and a full explanation.

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3. An object was projected in space with an initial velocity, u at an angle θ to the horizontal. It attained a maximum height, H before falling at a spot on the same plane as the point of projection. With the aid of a suitable diagram, draw a graph of the object's motion indicating the initial velocity, u, maximum height, H, angle, θ, and the range, R.

Model answer

The path of the object is a parabola (projectile motion). On a graph of vertical distance (y) against horizontal distance (x/m): the object leaves the origin with initial velocity u at angle θ to the horizontal, rises smoothly to a peak at maximum height H (at the midpoint of the horizontal range), then descends symmetrically, landing back on the horizontal (x) axis at a horizontal distance R (the range) from the point of projection. The curve is symmetric about the vertical line through the point of maximum height.

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