Gce Model Questions Vol1 2017 Further Mathematics Question 1

Practice objective / multiple choice question 1 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 1 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

A smooth inclined plane of length 5\,m makes an angle \(\theta\) with the horizontal such that \(\tan\theta = \frac{3}{4}\). The coefficient of kinetic friction varies with the distance \(x\) (in metres) measured from the bottom as \(\mu(x)=0.1+0.02x\). A particle of mass \(m\) is projected up the plane from the bottom with speed \(v_0\). Using \(g=9.8\ \text{ms}^{-2}\), determine the minimum initial speed \(v_0\) required for the particle to just reach the top of the plane.

Answer Options

A. 10.0
B. 7.6
Correct Answer C. 8.4
D. 9.2
Correct Answer
C
Correct Option:
8.4

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 1. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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