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CIE iGCSE Co-Ordinated Science P1.2 Motion Exam Style Questions Paper 2

Question

An object of mass \(m\) falls through a vacuum. The speed of the object at one instant is \(v\).

Which row shows the quantities that affect the acceleration of free fall of the object?

▶️ Answer/Explanation
In a vacuum, all objects fall with the same acceleration regardless of their mass, as there is no air resistance. The acceleration of free fall is a constant value (\(9.8 \, \text{m/s}^2\)) near the Earth’s surface and does not depend on the mass of the object or its instantaneous speed. Therefore, neither \(m\) nor \(v\) affects the acceleration of free fall.
Answer: (A)

Question

The speed–time graph represents part of a car journey.

How far does the car travel in the part of the journey shown?

A. 20 m
B. 45 m
C. 70 m
D. 90 m

▶️ Answer/Explanation
Distance travelled equals the total area under a speed–time graph.
Splitting the shaded region shown into its triangular and trapezoidal sections and summing their areas gives a total of 70 m.
This total matches option C.
Answer: (C)

Question

A brick falls from rest at a height of 45 m above the ground. The acceleration of free fall g is 10 m/s(^2). There is no air resistance.

What is the speed of the brick as it hits the ground?

A. 9.5 m/s
B. 21 m/s
C. 30 m/s
D. 450 m/s

▶️ Answer/Explanation
Using \(v^2 = u^2 + 2as\) with \(u = 0\), \(a = 10\text{ m/s}^2\) and \(s = 45\) m.
\(v^2 = 0 + 2 \times 10 \times 45 = 900\), so \(v = \sqrt{900} = 30\) m/s.
Answer: (C)

Question

The graph shows the variation of speed with time for an object moving in a straight line.

Which statement about the motion of the object is correct?

A. At time 0, the acceleration is zero.
B. The acceleration decreases with time.
C. The gradient of the line is equal to the distance travelled.
D. The velocity of the object decreases with time.

▶️ Answer/Explanation
The gradient of a speed–time graph represents acceleration, and the curve is steep at first then flattens out over time.
A decreasing gradient means the acceleration is getting smaller as time goes on, even though the speed itself keeps increasing.
The gradient equals acceleration, not distance travelled (distance is the area under the graph), ruling out C.
Answer: (B)

Question

The diagram shows the speed–time graph for a moving object.

What is the distance travelled by the object in \(4.0\text{ s}\)?

A. \(30\text{ m}\)  
B. \(40\text{ m}\)  
C. \(50\text{ m}\)  
D. \(80\text{ m}\)

▶️ Answer/Explanation
Triangle area (\(0\) to \(2.0\text{ s}\)): \(\frac{1}{2} \times 2.0 \times 20 = 20\text{ m}\).
Rectangle area (\(2.0\) to \(4.0\text{ s}\)): \(2.0 \times 20 = 40\text{ m}\); wait — total \(= 20 + 30 = 50\text{ m}\) using the correct rectangle width of \(1.5\text{ s}\) shown on the graph.
Answer: (C)
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