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Question 477

After it rains a puddle has 40 cm3 of water. Two hours later the puddle has 30 cm3 of water. In a simple model the rate of decrease of the volume of water is inversely proportional to the square of the volume of water in the puddle.

a.

Find an equation linking the volume of water in the puddle and time.

[5]
b.

Hence find the total time taken for the water in the puddle to fully evaporate. Give your answer in hours and minutes, to the nearest minute.

[3]
c.

Suggest a limitation of the model.

[1]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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