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Worksheet · IGCSE 0625 · 1.2 Motion · Core

Acceleration of free fall, g: practice

Six original questions on free fall and the acceleration g. Give a unit with every answer. Take g = 9.8 m/s squared unless a question says otherwise.

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Q12 marks

(a) State the approximate value of the acceleration of free fall g near the Earth, with its unit. (b) State what is meant by free fall.

Q22 marks

A hammer and a feather are dropped together inside a tube with the air removed. State what is seen, and explain why.

Q33 marks

Taking g = 10 m/s², a stone falls from rest. (a) Find its speed after 3 s. (b) Find its speed after 5 s.

Q44 marks

The speed-time graph below shows an object in free fall (taking g = 10 m/s²).

A free-fall speed-time graph: a straight line from the origin reaching 50 metres per second at 5 seconds, with a read-off at 2 seconds.
Speed-time graph for Q4

(a) Describe the motion shown.   (b) Find the gradient of the line and state what it represents.   (c) What is the speed after 2 s?

Q52 marks

A feather falls slowly in air, but a stone falls quickly. A student says "gravity is stronger on the stone." Explain why this is wrong.

Q62 marks

Taking g = 9.8 m/s², find the speed of a freely falling object 2 s after it is released from rest.

Total: 15 marks. Original work by the TheLucidSTEM team. Written in the style of the papers; no past paper question is reproduced.

Answer key · full worked solutionsclick to reveal
Q1. The value of g and free fall.

(a) g is about 9.8 m/s² (10 m/s² is accepted).

(b) free fall is motion under gravity alone, with no air resistance.

Q2. Hammer and feather in a vacuum.

they fall at the same rate and land together. With no air resistance both have the same acceleration g; the acceleration of free fall does not depend on mass.

Q3. Speed from v = g t.

(a) v = g t = 10 × 3 = 30 m/s.

(b) v = g t = 10 × 5 = 50 m/s.

Q4. Reading the graph.

(a) the speed increases at a steady rate from rest: constant acceleration (free fall).

(b) gradient = 50 ÷ 5 = 10 m/s²; it represents the acceleration of free fall, g.

(c) at 2 s the speed is 20 m/s.

Q5. The same g for all.

gravity gives both objects the same acceleration g. The feather is slow because of air resistance, not because gravity is weaker; remove the air and the feather keeps pace with the stone.

Q6. Speed from v = g t.

v = g t = 9.8 × 2 = 19.6 m/s.

Marking note: award the unit mark only when the correct unit is given (m/s for speed, m/s² for g). In Q5, the key idea is that g is the same for all masses and air resistance explains the difference.
Original work by the TheLucidSTEM team. Questions are written in the style of the papers; no past paper question is reproduced. Supplied in editable formats so you can adapt them freely.
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