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The accompanying map, located on the back page of Section A, shows ground contours at five meter vertical intervals on a golf course - Leaving Cert DCG - Question C-1 - 2020
Question C-1
The accompanying map, located on the back page of Section A, shows ground contours at five meter vertical intervals on a golf course. ABC is the edge of a proposed ... show full transcript
Worked Solution & Example Answer:The accompanying map, located on the back page of Section A, shows ground contours at five meter vertical intervals on a golf course - Leaving Cert DCG - Question C-1 - 2020
Step 1
(a)(i) Draw parallel areas at 7.5mm intervals.
Answer
To draw parallel areas at 7.5mm intervals, begin by determining the main contour line at the given altitude of the fairway. Then, measure down from this contour line in 7.5mm increments. Use a ruler to draw straight, parallel lines that accurately represent these intervals across the designated area of the contour map.
Step 2
(a)(ii) Identify intersections with contours and draw curves.
Answer
Examine the newly drawn parallel lines to identify where they intersect existing contour lines. Mark these intersections clearly. Next, draw smooth curves that connect these intersection points, ensuring that the curves reflect the natural topography represented by the contour lines.
Step 3
(a)(iii) Draw required 7.5mm arc at correct position and draw tangent.
Answer
Identify the exact location where the semicircular curve of the putting green meets the fairway. Using a compass set to a 7.5mm radius, draw an arc in this position. Extend a tangent line from the point of intersection that aligns with the slope of the fairway to show the transition effectively.
Step 4
(a)(iv) Draw parallel lines at 7.5mm intervals.
Answer
Reaffirm the placement of parallel lines by measuring and marking another set of 7.5mm intervals. These should be drawn across the putting green area, consistent with the previously drawn lines, to provide a detailed layout for the area.
Step 5
(a)(v) Identify intersections with contours and draw curves.
Answer
Similar to step (a)(ii), analyze the new set of parallel lines for intersections with existing contour lines. Mark these points of intersection, and then draw smooth transitions between them to create curves that follow the terrain's contour.
Step 6
(b)(i) Establish highest point of ball on flight path.
Answer
To determine the highest point of the ball during its flight, refer to the parabolic path's vertex. The vertex reflects the maximum height, which can be calculated using the standard parabola equation, taking into account the initial launch angle and velocity of the ball.
Step 7
(b)(ii) Construction to determine points on parabola.
Answer
Construct a set of values that correspond to both the x and y coordinates of the parabola. Use consistent increments on the x-axis and apply the parabola equation, integrating initial flight parameters, to calculate the y-values that represent the flight path.
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Step 12
(c)(iii) Establish required dip and thickness of the stratum.
Answer
To establish the dip, measure the angle at which the stratum descends relative to the horizontal plane. Use the elevation data provided to assess the thickness of the stratum by determining the vertical distance between the top and bottom surfaces.