Neco 2021 Mathematics Question 10

Practice essay / theory question 10 from the 2021 Neco Mathematics examination. This question covers Variation .

Neco 2021 Mathematics Essay / Theory

Topic: Variation

Question 10 NECO • 2021 • MATHEMATICS • essay

The time \(t\) (in seconds) taken for a particle to travel a distance \(s\) (in metres) under a constant force \(F\) (in newtons) varies directly as the square root of the distance and inversely as the cube of the force. The particle's mass \(m\) (in kilograms) varies directly as the time taken. When \(s = 200\) m and \(F = 4\) N, the time taken is \(t = 5\) s and the mass is \(m = 10\) kg.

( a )

Determine the constant of variation \(k\) in the relation \(t = k\,\frac{\sqrt{s}}{F^{3}}\).

( b )

Using the constant found, calculate the time taken when \(s = 450\) m and \(F = 3\) N.

( c )

Determine the mass of the particle under these new conditions.

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This is Neco 2021 Mathematics Question 10. It is one of the essay questions from the 2021 Neco Mathematics examination.

The question covers Variation .

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