Leaving Certificate Examination Honours Applied Mathematics (1925-1970)

Question 1 A bullet of mass $m$ is fired with speed $v$ into a fixed block of wood and is brought to... Read More

Question 1 State the principle of the conservation of momentum. A car weighing $2$ tons and moving at $60$ m.p.h. along a... Read More

Question 1 Show how to find the centre of gravity of a non-rectangular parallelogram. A thin uniform square sheet of metal $ABCD$... Read More

Question 1 A body is projected under gravity with initial velocity $\vec{u}$ at an angle $\theta$ to the horizontal. Find in terms... Read More

Question 1 (a) Represent any two velocities $\vec{v_1}$ and $\vec{v_2}$ by a vector diagram, and illustrate the vectors $(\vec{v_1}+\vec{v_2})$ and $(\vec{v_1}-\vec{v_2})$. (b)... Read More

Question 1 Two pegs are fixed at points $A$ and $D$ in the same horizontal line. One end of a light string... Read More

Question 1 A uniform ladder $PQ$ has a length of $26$ feet and weighs $40$ lbs. The end $Q$ leans against a... Read More

Question 1 $P$ and $S$ are two fixed pegs in the same horizontal line. One end of a light string is attached... Read More

Question 1 A uniform ladder is put leaning against a rough vertical wall (coefficient of friction $0.5$), the bottom of the ladder... Read More

Question 1 $ABC$ is a triangle in which $BC=8″$, $\cos B = \frac{1}{2}$, $\cos C = \frac{11}{14}$. Forces of $3$, $12$, $7$... Read More