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 $m{s}^{-2}$, 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. $x^3+4x+9$