Applications & Interpretation HL · Topic 3 · Geometry & Trigonometry

IB Math AI HL Vectors and Kinematics Worksheet (questions only)

Position, velocity and displacement as vectors: constant-velocity motion, closest approach and collisions.

26 pages · 120 marks · questions only · free PDF for IB Mathematics: Applications and Interpretation HL students.

26pages
120marks
3difficulty levels
Nosolutions included
T3Geometry & Trigonometry

Download the AI HL Vectors and Kinematics worksheet (PDF) ↓   All AI HL worksheets →

What this AI HL vectors and kinematics worksheet covers

Position, velocity and displacement as vectors: constant-velocity motion, closest approach and collisions. The questions follow the order of the AI HL syllabus for Topic 3 (Geometry & Trigonometry) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Position vector r = r₀ + tv
Speed as the magnitude of velocity
Closest approach using the distance function
Collision and intersection problems
Exam tip for this topic. Closest approach: write |r₁ − r₂|² as a function of t and minimise it — do not take the square root until the end.

Preview

How to use it

  1. Do the first band without the AI HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. For the third band, compare your method with the matching questions in the AI HL question bank; if you want this set marked, send it to Mr Ahmad.

More AI HL worksheets on Geometry & Trigonometry

✓ = solutions included

Questions

Is this AI HL vectors and kinematics worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

Which IB course is it for?

IB Mathematics: Applications and Interpretation HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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