Further Mathematics Past Questions and Answers

Two functions f and g are defined on the set of real numbers by \(f : x \to x^{2} + 1\) and \(g : x \to x - 2\). Find f o g.

A car is moving at 120\(kmh^{-1}\). Find its speed in \(ms^{-1}\).

A particle starts from rest and moves through a distance \(S = 12t^{2} - 2t^{3}\) metres in time t seconds. Find its acceleration in 1 second.

Find the constant term in the binomial expansion \((2x^{2} + \frac{1}{x})^{9}\)

Find the angle between forces of magnitude 7N and 4N if their resultant has a magnitude of 9N.