Gce Model Questions Vol1 2024 Further Mathematics Question 31

Practice objective / multiple choice question 31 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 31 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

A particle of mass \(2\ \text{kg}\) moves along a straight line under a variable force \(F = 3x^{2}\ \text{N}\), where \(x\) is the displacement in metres from the origin. The particle starts from rest at \(x=0\). Find the displacement \(x\) when its speed first reaches \(6\ \text{m s}^{-1}\). Give your answer in exact form.

Answer Options

A. \(\sqrt[3]{45}\ \text{m}\)
Correct Answer B. \(\sqrt[3]{36}\ \text{m}\)
C. \(\sqrt[3]{64}\ \text{m}\)
D. \(\sqrt[3]{27}\ \text{m}\)
Correct Answer
B
Correct Option:
\(\sqrt[3]{36}\ \text{m}\)

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 31. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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