Further Kinematics (Q4 A2 P3 Edexcel 2024)

Описание: In this video, Lee Guffick breaks down Question 4 from Edexcel A Level Maths, A2 Mechanics Paper 3 (2024) — a beautifully structured Further Kinematics problem involving position vectors, bearings, velocity, speed, acceleration, and interpreting motion from vector direction.

This is exactly the kind of multi-step question that challenges students aiming for the A/A*, and Lee shows the full reasoning clearly: from using the bearing of 135°, to differentiating vectors, to interpreting acceleration direction to solve for t = 9 seconds.

⏱️ TIMESTAMPS:

0:00 – Intro to Q4: position vector with a constant
𝐶
C
0:12 – Substituting
𝑡
=
4
t=4 into the position vector
0:24 – Drawing the 135° bearing and interpreting the geometry
0:49 – Forming the gradient and solving for C = 3
1:13 – Part (b): Differentiating to find velocity
𝑣
(
𝑡
)
v(t)
2:01 – Substituting
𝑡
=
4
t=4 into the velocity vector
2:43 – Finding speed using magnitude of the velocity vector
3:09 – Final speed:
37
/
2
37
​

/2 or approx 3.09 m/s
3:17 – Part (c): Differentiating again to find acceleration
𝑎
(
𝑡
)
a(t)
3:43 – Understanding motion “in the direction of” a vector
3:59 – Dividing components to match direction ratios
4:11 – Solving the resulting equation for t
4:46 – Final result: t = 9 seconds
4:54 – Summary & closing

✏️ TOPICS COVERED:

Position vectors and parametric motion

Using bearings and geometric interpretation

Differentiating vector functions for velocity

Finding speed from magnitude of a vector

Differentiating again to obtain acceleration

Interpreting motion in a given vector direction

Ratio methods for direction-based kinematics

Solving equations involving fractional powers

💯 EXAM TIPS:

When bearings appear in vector questions, always sketch the diagram — it reveals the gradient or ratio instantly.

If the question says “moving in the direction of…”, divide the i and j components — a common Paper 3 technique.

Remember:

Displacement → differentiate → Velocity

Velocity → differentiate → Acceleration

Use exact values (fractions, roots) as long as possible before converting to decimals.

Paper 3 often expects multi-stage vector reasoning — keep work neatly structured to secure all method marks.

📚 ABOUT GUFFICK TUITION:

Lee Guffick is a former Head of Mathematics, A-Level Examiner, and specialist tutor helping ambitious students achieve A/A* grades and secure offers from top universities such as Oxford, Cambridge, Imperial, UCL, and leading US institutions in the Ivy League.
His teaching focuses on clarity, structure, and confidence — especially in the trickiest Mechanics questions.

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