Neco 2017 Further Mathematics Question 36

Practice objective / multiple choice question 36 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 36 NECO • 2017 • FURTHER_MATHEMATICS • objective

A particle of mass \(2\) kg moves along a straight line under a variable force \(F = k x^{2}\) where \(x\) is the displacement in metres from the starting point. The particle starts from rest at \(x=0\). It is observed that it takes \(4\) s to travel from \(x=1\) m to \(x=2\) m. Find the speed of the particle when it reaches \(x=3\) m. Give your answer in exact form.

A. 3\sqrt{\dfrac{9-6\sqrt{2}}{4}}

B. 3\sqrt{\dfrac{9+6\sqrt{2}}{8}}

Correct Answer C. 3\sqrt{\dfrac{9-6\sqrt{2}}{8}}

D. 3\sqrt{\dfrac{9-3\sqrt{2}}{8}}

Correct Answer

Correct Option:

3\sqrt{\dfrac{9-6\sqrt{2}}{8}}

This is Neco 2017 Further Mathematics Question 36. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Hard .

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