AQA AS Level Physics Paper 2, June 2023: Question 10
1 mark · Medium difficulty · Multiple Choice
Identify the correct velocity-time graph showing the vertical component of velocity of a football kicked vertically upwards until it reaches the ground.
Practise this questionQuestion
Question text
10 A girl kicks a football vertically upwards at time t = 0
Air resistance is negligible.
What is the variation of the vertical component of velocity v of the football with t until it
reaches the ground?
[1 mark]
A
B
C
D
Mark scheme
Show the mark scheme
10 A
How to answer it
Vertical Velocity-Time Graph for a Projectile
What this question tests
This question assesses your ability to interpret kinematic motion graphs, specifically understanding how choosing a sign convention for vector quantities like velocity and acceleration affects the shape and quadrant of a velocity-time graph under constant acceleration (gravity).
Variation of Vertical Velocity with Time
✅ Correct Answer: Option A
Option A is the correct choice because velocity is a vector. As the football moves upwards, it has a positive velocity that decreases linearly at a constant rate due to gravity. At the highest point, its vertical velocity is zero. As it falls back down, its velocity becomes negative (moving in the opposite direction) and continues to decrease linearly until it hits the ground.
💡 Key Knowledge
- Vector Nature: Velocity has both magnitude and direction. Upwards is conventionally taken as positive (+), and downwards as negative (-).
- Constant Acceleration: Acceleration due to gravity ( g ) is constant ( 9.81 m s⁻² downwards), meaning the gradient of a v-t graph ( dv/dt = a ) must be constant and negative.
- The Intercept: The line crosses the time axis ( v = 0 ) precisely at the peak of the football's flight path.
🧠 Exam Technique
- Check the y-axis label carefully ( v for velocity, not speed).
- Eliminate magnitude-only graphs immediately if the object changes direction. Speed-time graphs (like Option B) can never cross below the time axis.
- Look at the gradient: Since a = -g throughout the motion, the line must have a single, unbroken, constant negative gradient from start to finish.
❌ Common Errors
- Choosing B: Confusing velocity with speed. Speed cannot be negative, but vertical velocity *must* change sign when direction reverses.
- Choosing C: Assuming acceleration changes or that velocity-time relationships for projectiles are parabolic (parabolas represent displacement-time graphs under constant acceleration, not velocity-time).
- Choosing D: Thinking that the downward journey is a "fresh start" with a positive speed increasing from zero.
Topics
Physics · 3.4 Mechanics and materials
Question and mark scheme from the AQA AS Level Physics examination, Paper 2, June 2023. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.