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3.7.3 Numerical methods (A-level only)

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Question 34

A flight computer calculates the total distance traveled by an autonomous drone by applying the trapezium rule to velocity data $v (t)$ sampled over the interval $\le t \le 5$ . The computer evaluates four different mathematical models for the drone's velocity:

Model A: $v (t) = 3 t + 4$

Model B: $12\ln(t)$

Model C: $\frac{1}{2}e^{t/2}$

Model D: $v(t) = 10 + 4t - t^2$

Identify which model will result in the trapezium rule producing an overestimate of the actual distance traveled. Justify your answer.

[4]

Markscheme

3.7.3 Numerical methods (A-level only) Questions

A Level
Maths
3.7.3 Numerical methods (A-level only)

43 exam-style questions on CCEA A Level Maths 3.7.3 Numerical methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.7.3 Numerical methods (A-level only)

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3.7.3 Numerical methods (A-level only)

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Question 34

Model A: $v (t) = 3 t + 4$

Model B: $12\ln(t)$

Model C: $\frac{1}{2}e^{t/2}$

Model D: $v(t) = 10 + 4t - t^2$

Identify which model will result in the trapezium rule producing an overestimate of the actual distance traveled. Justify your answer.

[4]

Markscheme

3.7.3 Numerical methods (A-level only) Questions

A Level
Maths
3.7.3 Numerical methods (A-level only)

43 exam-style questions on CCEA A Level Maths 3.7.3 Numerical methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.