Gce Model Questions Vol1 2017 Mathematics Question 37

Practice objective / multiple choice question 37 from the 2017 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2017 Mathematics Objective / Multiple Choice Medium Difficulty
Question 37 GCE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • objective

The time \(t\) (seconds) taken for a particle to travel a distance \(s\) (metres) under a constant force \(F\) (newtons) varies directly with \(s\) and inversely with \(\sqrt{F}\). When \(s=10\) m and \(F=4\) N the time is \(5\) s. (i) Find the time required for \(s=25\) m when \(F=9\) N. (ii) Determine the force needed to make the time \(4\) s for a distance of \(16\) m.

Answer Options

A. t = \frac{30}{3}\ \text{s (≈10 s)}; \; F = 12\ \text{N}
B. t = \frac{20}{3}\ \text{s (≈6.67 s)}; \; F = 9\ \text{N}
C. t = \frac{25}{2}\ \text{s (≈12.5 s)}; \; F = 25\ \text{N}
Correct Answer D. t = \frac{25}{3}\ \text{s (≈8.33 s)}; \; F = 16\ \text{N}
Correct Answer
D
Correct Option:
t = \frac{25}{3}\ \text{s (≈8.33 s)}; \; F = 16\ \text{N}

About This Question

This is Gce Model Questions Vol1 2017 Mathematics Question 37. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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