Leaving Cert Applied Maths Higher Level 1980-1992 Solutions

Leaving Cert Applied Maths Higher Level 1980 Solution

1. (i) $0\vec{i}+\left(14-8\sqrt{2}\right)\vec{j}$, $\frac{7+4\sqrt{2}}{8}}$ hours (ii) 1.45 hours
2.  $\frac{1}{20} – \frac{T_1}{10W}$
3.  (ii) $\frac{\sqrt{5}u^2}{4g}$
4.  (ii) $\frac{W \sin\left(\alpha+\lambda\right)}{\cos \lambda\right)}$ (iii) $W \tan \left(\alpha+\lambda\right)}$ (iv) $W\sin\left(\alpha+\lambda\right)$
5.  (b) $ \mu \sin \left( \alpha \right) \left( 1+e \right) $
6.  $ x = \frac{2f}{k} $
7.  $\frac{3l \pm \sqrt{5}l}{6}$
8.  $1.7$ m, $\frac{\pi}{2}$ s, $0.1477$ s
9. (a) $y=\sqrt{2\sqrt{2} x – 3}$ (b) $2.18$ m s$^{-1}$
10. (a) $\frac{12}{7}$ (b) $\frac{4}{5}$

Leaving Cert Applied Maths Higher Level 1981 Solution

1. (i) $1.2$ m s$^{-2}$ and $-2$ m s$^{-2}$
2. “Show that” question
3. “Show that” question
4. “Show that” question
5.  $\frac{7}{9} W$, $W$ and $\frac{5}{9}W$
6.  (a) $12.1$ percent shorter (b) $7$ rad s$^{-1}$
7.  $\omega = \sqrt{\frac{20g}{19 r}}$
8. (b) 66
9. (b)(ii) $T=\frac{W}{4}$ and $B=\frac{3}{4}W$ (ii) $\frac{2}{3}$
10. (a) $y=\frac{24}{24 \sin x – 8 \sin^3 x + 1}$ (b) $28.76$ m

Leaving Cert Applied Maths Higher Level 1982 Solution

1. (i)  (a) $80$ m (ii) $150$ s (b) $0.5094$ N
2. (i) $25\vec{i} – 15\sqrt{3}\vec{j}$ (ii) $1.92$ km
3.  (ii) $\frac{\sqrt{3}}{2}$ (iii) $\frac{400}{7g}$ m
4.  (a) $\frac{5}{4}$ and $\frac{35}{4}$ m s$^{-1}$, $187.5$ kg m s$^{-1}$ (b) $\frac{1}{3}$
5.  “Show that” question
6. $\frac{W}{\sqrt{3}}$ for both, $\mu \geq \frac{1}{\sqrt{3}} $
7.  (ii) $11 ml^2 $
8. $\omega = \frac{5}{2}$ rad s$^{-1}$ and $0.257 $ s
9.  (a) (i) $500g$ Pa (ii) $\frac{125\pi g}{16}$ N (iii) 7:1 (b) $0.9$
10.  (a) $y=\left(\frac{1+x^3}{4}\right)^{\frac{1}{3}}$ (b) $s=\ln \left(1+t\right)$ and $s=\ln 2$ m

Leaving Cert Applied Maths Higher Level 1983 Solution

Leaving Cert Applied Maths Higher Level 1984 Solution

Leaving Cert Applied Maths Higher Level 1985 Solution

Leaving Cert Applied Maths Higher Level 1986 Solution

Leaving Cert Applied Maths Higher Level 1987 Solution

Leaving Cert Applied Maths Higher Level 1988 Solution

Leaving Cert Applied Maths Higher Level 1989 Solution

Leaving Cert Applied Maths Higher Level 1990 Solution

Leaving Cert Applied Maths Higher Level 1991 Solution

Leaving Cert Applied Maths Higher Level 1992 Solution