16 Jun 2019

Leaving Cert Applied Maths Higher Level 1980-1992 Solutions By Maths Grinds

Posted Bystephen

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

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