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...
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20 Jun 2018

Leaving Certificate Examination 1932 Honours Applied Mathematics

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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...
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19 Jun 2018

Leaving Certificate Examination 1931 Honours Applied Mathematics

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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...
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17 Jun 2018

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...
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15 Apr 2018

Leaving Certificate Examination 1928 Honours Applied Mathematics

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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...
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28 Mar 2018

Solutions – Fundamental Applied Maths 2nd Ed

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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...
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28 Mar 2018

Mathematics Entrance Exam for Charles University

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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...
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