Neco 2022 Mathematics Question 10

Practice essay / theory question 10 from the 2022 Neco Mathematics examination. This question covers Variation, Direct and Inverse Variation, Fractional Powers .

Neco 2022 Mathematics Essay / Theory
Topics: Variation Direct and Inverse Variation Fractional Powers
Question 10 NECO • 2022 • MATHEMATICS • essay

In a physics experiment the time \(T\) (in seconds) taken by a particle to travel a distance \(s\) (in metres) under a constant force \(F\) (in newtons) is directly proportional to the square root of the distance and inversely proportional to the cube root of the force.

Question Parts

( a )
Write the mathematical relationship between \(T\), \(s\) and \(F\) in the form \(T = k\,\frac{\sqrt{s}}{\sqrt[3]{F}}\), where \(k\) is the constant of proportionality.
( b )
When a force of \(8\) N is applied, the particle travels \(27\) m in \(6\) s. Determine the value of the constant \(k\).
( c )
Using the value of \(k\) found above, calculate the time required for the particle to travel \(125\) m when a force of \(27\) N is applied.
( d )
If the particle must travel \(125\) m in exactly \(4\) s, what magnitude of force \(F\) (in newtons) must be applied? Give your answer correct to two decimal places.

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About This Question

This is Neco 2022 Mathematics Question 10. It is one of the essay questions from the 2022 Neco Mathematics examination.

The question covers Variation, Direct and Inverse Variation, Fractional Powers .

View More Neco 2022 Mathematics Questions More Neco Practice Questions Back to Questions

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