WAEC Past Questions and Answers - Page 1138

5,686.

Find the maximum value of \(2 + \sin (\theta + 25)\).

A.

1

B.

2

C.

3

D.

4

Correct answer is C

\(\sin \theta \leq 1\)

i.e Maximum value of \(\sin \theta \forall \theta = 1\).

Therefore, \(2 + \sin \theta \leq 2 + 1 = 3\)

5,687.

A provision is

A.

An amount set out of profit for other uses

B.

An amount of loss from trading activities

C.

An expense of buisiness to be paid for in cash

D.

A loss in value of all business assets

Correct answer is A

No explanation has been provided for this answer.

5,688.

The initial velocity of an object is \(u = \begin{pmatrix} -5 \\ 3 \end{pmatrix} ms^{-1}\). If the acceleration of the object is \(a = \begin{pmatrix} 3 \\ -4 \end{pmatrix} ms^{-2}\) and it moved for 3 seconds, find the final velocity.

A.

\(\begin{pmatrix} -14 \\ 15 \end{pmatrix} ms^{-1}\)

B.

\(\begin{pmatrix} -2 \\ 1 \end{pmatrix} ms^{-1}\)

C.

\(\begin{pmatrix} 4 \\ -9 \end{pmatrix} ms^{-1}\)

D.

\(\begin{pmatrix} 14 \\ -9 \end{pmatrix} ms^{-1}\)

Correct answer is C

\(u = \begin{pmatrix} -5 \\ 3 \end{pmatrix} ms^{-1}\)

\(a = \begin{pmatrix} 3 \\ -4 \end{pmatrix} ms^{-2}; t = 3 secs\)

\(v = u + at \implies v = \begin{pmatrix} -5 \\ 3 \end{pmatrix} + \begin{pmatrix} 3 \\ -4 \end{pmatrix} \times 3\)

= \(\begin{pmatrix} -5 \\ 3 \end{pmatrix} + \begin{pmatrix} 9 \\ -12 \end{pmatrix} = \begin{pmatrix} 4 \\ -9 \end{pmatrix} ms^{-1}\)\)

5,689.