17Jun2018

### Leaving Certificate Examination 1930 Honours Applied Mathematics

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Question 1 Explain the meaning of the terms “speed at a point” and “acceleration.” The motion of a body in a straight line is given by the formula . Deduce by aid of your definitions the speed and acceleration when . What is the relation connecting acceleration and distance? [60 marks.] Question 2 The suspension... Read More

28Apr2018

### Leaving Certificate Examination 1929 Honours Applied Mathematics

Question 1 If a particle is moving in a straight line with a constant acceleration prove that . If the brakes of a tram bring it to rest when travelling along a level track at a speed of miles per hour in a distance of yards, find the slope of an incline on which the... Read More

15Apr2018

### Leaving Certificate Examination 1928 Honours Applied Mathematics

Question 1 If a particle is moving in a straight line with constant acceleration , prove that . A stone is projected vertically upwards with velocity ft. per second and 2 seconds later a stone is projected vertically upwards from the same place at ft. per sec. Find the distance from the point of projection... Read More

9Apr2018

### Leaving Certificate Examination 1927 Honours Applied Mathematics

Question 1 A ship sailing due N. at 15 miles per hour is at a certain instant 41 miles due E. of another ship B which is sailing E. at 12 miles per hour. When will the ships be nearest together? Question 2 Explain the variations of the forces between the floor of a lift... Read More

2Apr2018

### Leaving Certificate Examination 1926 Honours Applied Mathematics

Question 1 State the conditions of equilibrium of three forces acting on an extended body in one plane. is a point vertically above , the pivot of light rod , and . is attached to to by a cord and a mass is attached to . Show that the thrust on the rod is Independent... Read More

28Mar2018

### Solutions – Fundamental Applied Maths 2nd Ed

Note: These documents have been removed as per request of Folens. Please do not email me asking for them. Please note: All Fundamental Applied Maths Solutions are subject to: © Oliver Murphy 2011, shared with the permission of Folens publishers 2018 That is, I have been given permission from Folens to share these solutions with... Read More

28Mar2018

### Mathematics Entrance Exam for Charles University

So, Charles University in the Czech Republic (Charles University Prague, 3rd Faculty of medicine, Hradec Kravlove) has an entrance test for Medicine (well there are other routes too which I imagine don’t require the entry test although I’m not sure). Anyway, they don’t have too many sample papers online or sample questions so I spun... Read More

26Mar2018

### Leaving Certificate Examination 1925 Honours Applied Mathematics

Question 1 What is meant by ‘work’, ‘power’, ‘one-horse power’? A locomotive of tons weight draws a train of tons at miles per hour, the resistance to motion being lbs. per ton. At what horse-power is it working when moving (a) on the level, (b) up an incline of in , (c) down an incline... Read More