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AP Physics · APCM-1 · free response

Differentiate a position model 6

AP Physics C: Mechanics · Calculus-based kinematics · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
demanding
Marks
6
Topics
2
Answer
Complete
Question6 marks

A particle's position is x(t) = (1.6 m s⁻²)t² + (0.32 m s⁻³)t³. Find its velocity and acceleration at t = 1.6 s.

Task interpretation

What a complete response should do

Develop a connected physics argument and support each claim with a relationship, calculation, or observation.

Split the problem into linked stages and state why each relationship applies.

Response type
free response
Allocation
6 marks
Demand
demanding
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Use your answer and the marking steps—not confidence alone—to choose.