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Physics Mechanics & SUVAT Assignment

Worked solutions for uniform deceleration and terminal velocity questions with sub-parts (a) and (b).

Question 1

Uniform Acceleration & SUVAT Calculation

5 Marks • Kinematics
a

Part (a) Acceleration Calculation

Explanation & Working Steps:

Step 1: Identify SUVAT Variables

• Initial velocity (u) = 36 m/s • Final velocity (v) = 12 m/s • Displacement (s) = 480 m

Step 2: Apply Formula v² = u² + 2as

Substitute values: (12)² = (36)² + 2 × a × 480 144 = 1296 + 960a 960a = -1152 => a = -1.2 m/s²

Part (a) Acceleration Calculation Final AnswerAcceleration = -1.2 m/s² (Deceleration = 1.2 m/s²)
b

Part (b) Time Taken

Explanation & Working Steps:

Step 1: Select Formula for Time (t)

Use v = u + at

Step 2: Substitute Known Values

12 = 36 + (-1.2)t 1.2t = 24 => t = 20 s

Part (b) Time Taken Final AnswerTime taken = 20 seconds

Mark Scheme Award Criteria

  • State formula v² = u² + 2as (1 mark)
  • Correct substitution: 144 = 1296 + 960a (1 mark)
  • Correct acceleration -1.2 m/s² with units (1 mark)
  • State formula v = u + at (1 mark)
  • Correct time calculation t = 20 s (1 mark)
💡Examiner Insight: Always list your u, v, a, s, t variable list before selecting your formula.

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