WAEC 2017 Physics · Question 2
A ball is projected horizontally from the top of a tower. Neglecting air resistance, which of the following…
Question
A ball is projected horizontally from the top of a tower. Neglecting air resistance, which of the following statements about its motion is/are correct? I. Vertical acceleration on the ball decreases as it falls II. The vertical force on the ball remains constant III. The vertical speed of the ball increases as it falls
- A.I only
- B.II only
- C.I and II only
- D.II and III only
Answer: D. II and III only
Explanation written with AI and checked against the answer key
Analyze the question: A ball is projected horizontally from a tower, and air resistance is ignored. We need to decide which of the three statements are true.
Concept: With no air resistance, the only force on the ball is its weight, W = mg, which acts vertically downward. The horizontal and vertical motions are independent:
- Horizontally, there is no force, so the horizontal velocity is constant.
- Vertically, the ball falls freely with constant acceleration g (about 10 m/s²).
Checking each statement:
I. Vertical acceleration decreases as it falls: FALSE. The vertical acceleration is always g, which is constant near the Earth's surface. It does not decrease.
II. The vertical force on the ball remains constant: TRUE. The vertical force is the weight, mg. Mass and g do not change, so the force is constant.
III. The vertical speed increases as it falls: TRUE. Since the ball accelerates downward at g, the vertical velocity follows v = u + gt. With initial vertical velocity u = 0, v = gt, which grows steadily with time.
Result: Only statements II and III are correct.
**Answer: D (II and III only).
Exam tip: For projectile questions, remember "horizontal: constant velocity, no acceleration; vertical: constant acceleration g, with speed increasing when falling." If a statement says g or the weight changes during a short fall, it is almost certainly false.
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