17
Aug
2018

### Leaving Certificate Examination 1933 Honours Applied Mathematics

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Question 1 The following table gives the speed of a train seconds after leaving a station for portion of the journey between two stations and , ft. apart. Speed in feet per second. Time in seconds. Estimate the acceleration after seconds and the distance travelled in the seconds. If the train continues to move with... Read More

20
Jun
2018

### Leaving Certificate Examination 1932 Honours Applied Mathematics

Question 1 A particle moves along a straight line and its distance from a fixed point in the straight line is given by . Calculate its average speed in the interval to ; its instantaneous speed at . Find when and where its instantaneous speed is zero. Describe in a general way the motion of... Read More

19
Jun
2018

### Leaving Certificate Examination 1931 Honours Applied Mathematics

Question 1 The motion of a particle along a straight line is given in the following table :- Time in seconds. Distance in cm. Obtain approximately its velocity at intervals of seconds from seconds to seconds, and plot against . Hence determine approximately when the velocity of the particle is zero and is acceleration is... Read More

17
Jun
2018

### Leaving Certificate Examination 1930 Honours Applied Mathematics

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

28
Apr
2018

### 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

15
Apr
2018

### 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

9
Apr
2018

### 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

2
Apr
2018

### 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

28
Mar
2018

### 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

28
Mar
2018

### 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