iGCSE Physics (0625) 1.1 Physical quantities and measurement techniques Paper 4 -Exam Style Questions- New Syllabus
Question
(a) Circle the vector quantities in the list.
acceleration mass speed time velocity

Suggest one change to the motion of the train that leads to this longer journey time.
Most-appropriate topic codes (Cambridge IGCSE Physics 0625):
▶️ Answer/Explanation
Correct Answer: acceleration AND velocity
Detailed solution: Vector quantities are physical quantities that have both magnitude (size) and a specific direction. Among the given options, both acceleration and velocity describe motion with a particular direction. In contrast, mass, speed, and time only possess magnitude without any directional component, which classifies them as scalar quantities.
Correct Answer: $56\text{ m/s}$
Detailed solution: On a speed-time graph, the speed of the object is represented on the vertical $y$-axis. The maximum speed achieved by the train corresponds to the highest flat section reached on the graph. Observing the plot, this top horizontal section aligns perfectly with $56$ on the vertical axis, giving a maximum speed of $56\text{ m/s}$.
Correct Answer: The train accelerates at a constant rate, then travels at a constant speed, and finally decelerates at a constant rate.
Detailed solution: The motion is divided into three distinct phases. First, the straight line with a positive gradient from $0\text{ s}$ to $80\text{ s}$ shows that the train undergoes constant acceleration. The horizontal line segment from $80\text{ s}$ to $480\text{ s}$ indicates that the train is moving at a steady, constant speed. Finally, the straight line with a negative gradient from $480\text{ s}$ to $530\text{ s}$ represents constant deceleration until it stops.
Correct Answer: $26000\text{ m}$ (or $26\text{ km}$)
Detailed solution: The total distance travelled equals the area under the speed-time graph. The area can be calculated as a single trapezium using the formula $\text{Area} = \frac{1}{2}(a+b)h$. The parallel sides are the base width $b = 530\text{ s}$ and the top flat section $a = (480 – 80) = 400\text{ s}$. The height $h$ is $56\text{ m/s}$. The calculation is $\frac{1}{2} \times (400 + 530) \times 56 = 26040\text{ m}$, which is generally rounded to $26000\text{ m}$ for two significant figures.
Correct Answer: Lower maximum constant speed (or lower acceleration, or lower deceleration).
Detailed solution: The distance between station A and station B is a fixed value. If the train takes a longer overall time ($650\text{ s}$) to cover this same distance, its average speed must be lower. This reduction in average speed could be caused by reaching a lower maximum speed during the middle of the journey, having a slower rate of acceleration initially, or a lower rate of deceleration at the end.
