Neco Model Questions Vol1 2023 Mathematics Question 45

Practice objective / multiple choice question 45 from the 2023 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Medium Difficulty
Question 45 NECO_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

The time \(t\) (in seconds) taken by a particle to travel a distance \(s\) metres under a constant acceleration \(a\) (in \(\text{m/s}^{2}\)) varies directly with \(\sqrt{s}\) and inversely with \(\sqrt{a}\). If the particle takes 5 seconds to travel 20 metres when the acceleration is \(2\,\text{m/s}^{2}\), how many seconds will it take to travel 45 metres when the acceleration is \(5\,\text{m/s}^{2}\)? Give your answer in simplest radical form.

Answer Options

A. 3\sqrt{5}/2
B. 3\sqrt{10}/4
C. 5\sqrt{10}/2
Correct Answer D. 3\sqrt{10}/2
Correct Answer
D
Correct Option:
3\sqrt{10}/2

About This Question

This is Neco Model Questions Vol1 2023 Mathematics Question 45. It is one of the objective questions from the 2023 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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