29 Nov 2018

Leaving Certificate Examination 1969 Honours Applied Mathematics

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Question 1 State the principle of the conservation of momentum. A car weighing tons and moving at m.p.h. along a main road collides with a lorry of weight tons which emerges at m.p.h. from a crossroad at right angles to the main road. If the two vehicles lock, what will be their velocity after the...
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28 Nov 2018

General Derivative Test Flow Chart

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I was teaching my students today how one could use higher derivates to determine the shape of a curve at a particular point. The problem that really can be confusing is the case when     I felt that a flow chart with pictures would be the best way to represent the process for deciding...
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28 Nov 2018

Leaving Certificate Examination 1968 Honours Applied Mathematics

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Question 1 Show how to find the centre of gravity of a non-rectangular parallelogram. A thin uniform square sheet of metal of area square inches weighs ounces. At the corners , , , weights of oz., oz., oz., and oz., respectively are placed. Locate the centre of gravity of the system. Question 2   Establish...
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27 Nov 2018

Leaving Certificate Examination 1967 Honours Applied Mathematics

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Question 1 A body is projected under gravity with initial velocity at an angle to the horizontal. Find in terms of , , (a) the maximum height attained, (b) the time required to reach that height, and (c) the distance it has travelled in a horizontal direction on reaching the maximum height. A man strikes...
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26 Nov 2018

Leaving Certificate Examination 1966 Honours Applied Mathematics

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Question 1 (a) Represent any two velocities and by a vector diagram, and illustrate the vectors and . (b) When the sun, S, is above the horizon, an aeroplane glides in for landing with the sun behind, moving with a speed of m.p.h. along a path sloping down from the horizontal, as in the diagram....
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24 Nov 2018

Leaving Certificate Examination 1964 Honours Applied Mathematics

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Question 1 A uniform ladder has a length of feet and weighs lbs. The end leans against a vertical rough wall (coefficient of friction ) and the other end is on rough horizontal ground (coefficient of friction ) at a distance of feet from the wall. A block weighing lbs. is placed on the ground...
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22 Nov 2018

Leaving Certificate Examination 1962 Honours Applied Mathematics

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Question 1 A uniform ladder is put leaning against a rough vertical wall (coefficient of friction ), the bottom of the ladder being on a rough horizontal plane (coefficient of friction ). What is the least angle the ladder can make with the plane without slipping? Question 2 is quadrilateral lamina in which , ,...
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