Waec Further Mathematics 2010 Past Questions and Answers

Question 31:

• WAEC 2010

Two forces (2i - 5j)N and (-3i + 4j)N act on a body of mass 5kg. Find in \(ms^{-2}\), the magnitude of the acceleration of the body.

A. \(\frac{\sqrt{2}}{5}\)
B. \(5\sqrt{2}\)
C. \(2\sqrt{5}\)
D. \(\frac{5\sqrt{2}}{2}\)

Question 32:

• WAEC 2010

Two particles are fired together along a smooth horizontal surface with velocities 4 m/s and 5 m/s. If they move at 60° to each other, find the distance between them in 2 seconds.

A. \(2\sqrt{61}\)
B. \(\sqrt{42}\)
C. \(2\sqrt{21}\)
D. \(2\sqrt{10}\)

Question 33:

• WAEC 2010

Two forces \(F_{1} = (7i + 8j)N\) and \(F_{2} = (3i + 4j)N\) act on a particle. Find the magnitude and direction of \(F_{1} - F_{2}\).

A. \((4\sqrt{2} N, 000°)\)
B. \((4\sqrt{2} N, 045°)\)
C. \((4\sqrt{2} N, 090°)\)
D. \((4\sqrt{2} N, 180°)\)

Question 34:

• WAEC 2010

A stone is thrown vertically upwards and its height at any time t seconds is \(h = 45t - 9t^{2}\). Find the maximum height reached.

A. 45. 25 m
B. 45.50 m
C. 56.00 m
D. 56.25 m

Question 35:

• WAEC 2010

Given that \(\frac{\mathrm d y}{\mathrm d x} = 3x^{2} - 4\) and y = 6 when x = 3, find the equation for y.

A. \(x^{3} - 4x - 9\)
B. \(x^{3} - 4x + 9\)
C. \(x^{3} + 4x - 9\)
D. \(x^{3} + 4x + 9\)