Neco Model Questions Vol1 2020 Mathematics Question 45

Practice objective / multiple choice question 45 from the 2020 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Medium Difficulty
Question 45 NECO_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

The time \(T\) (in seconds) taken for a particle to travel a distance \(s\) (in metres) under a constant acceleration \(a\) (in \(\text{m/s}^2\)) varies directly with \(\sqrt{s}\) and inversely with \(\sqrt{a}\). If it takes \(8\) s to travel \(20\) m when the acceleration is \(2\ \text{m/s}^2\), find the time required to travel \(45\) m when the acceleration is \(5\ \text{m/s}^2\). Give your answer in exact form and to two decimal places.

Answer Options

Correct Answer A. Exact: \frac{12\sqrt{10}}{5} s; Approx.: 7.59 s
B. Exact: \frac{6\sqrt{10}}{5} s; Approx.: 3.79 s
C. Exact: \frac{12\sqrt{5}}{5} s; Approx.: 5.37 s
D. Exact: \frac{12\sqrt{10}}{4} s; Approx.: 9.49 s
Correct Answer
A
Correct Option:
Exact: \frac{12\sqrt{10}}{5} s; Approx.: 7.59 s

About This Question

This is Neco Model Questions Vol1 2020 Mathematics Question 45. It is one of the objective questions from the 2020 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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