Waec Further Mathematics 2011 Past Questions and Answers

Question 36:

• WAEC 2011

A particle starts from rest and moves in a straight line such that its velocity, v, at time t seconds is given by \(v = (3t^{2} - 2t) ms^{-1}\). Calculate the distance covered in the first 2 seconds.

A. 2m
B. 4m
C. 6m
D. 8m

Question 37:

• WAEC 2011

A particle starts from rest and moves in a straight line such that its velocity, v, at time t seconds is given by \(v = (3t^{2} - 2t) ms^{-1}\). Determine the acceleration when t = 2 secs.

A. \(4 ms^{-2}\)
B. \(6 ms^{-2}\)
C. \(8 ms^{-2}\)
D. \(10 ms^{-2}\)

Question 38:

• WAEC 2011

Given that \(q = 9i + 6j\) and \(r = 4i - 6j\), which of the following statements is true?

A. R and q are collinear
B. R and q are perpendicular
C. The magnitude of r is 52 units
D. The projection of r on q is \(\sqrt{117}\) units.

Question 39:

• WAEC 2011

The functions f and g are defined on the set, R, of real numbers by \(f : x \to x^{2} - x - 6\) and \(g : x \to x - 1\). Find \(f \circ g(3)\).

A. -8
B. -6
C. -4
D. -3

Question 40:

• WAEC 2011

Find the unit vector in the direction of (-5i + 12j).

A. \(\frac{1}{13}(-5i - 12j)\)
B. \(\frac{1}{13}(5i - 12j)\)
C. \(\frac{1}{13}(-5i + 12j)\)
D. \(\frac{1}{13}(5i + 12j)\)