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Soccer is one of the most popular team sports in the world - Leaving Cert DCG - Question B-2 - 2013
Question B-2
Soccer is one of the most popular team sports in the world. The 3D graphic on the right shows a set of typical soccer goal posts. Fig. B-2 shows an incomplete geome... show full transcript
Worked Solution & Example Answer:Soccer is one of the most popular team sports in the world - Leaving Cert DCG - Question B-2 - 2013
Step 1
Draw the axonometric axes X, Y and Z and the isosceles triangle abc.
Answer
To begin, draw the X, Y, and Z axes at correct angles of 120° relative to each other from a common origin point O. Label the axes correctly.
Next, establish the base of the isosceles triangle on the X-axis, ensuring that the base measures 7m. From the mid-point of this base, construct the triangle by measuring equal heights upwards to form the vertex, labeling the triangle as abc.
Step 2
Draw the elevation and end view orientated as shown and complete the axonometric projection.
Answer
- Draw the end view (b) and draw the semicircle that indicates the top of the goal post.
- Establish the orientation of the Y and Z axes correctly, ensuring clarity in the representation.
- Draw the end view on the established axes correctly.
- Draw line a; and draw the semicircle based on the established dimensions.
- Establish the orientation of X and Y axes with proper labeling.
- Draw the elevation on the established axes ensuring it aligns with the end view and axonometric projection.
Step 3
A ball is positioned, on the ground at a point F, for a kick.
Answer
- Establish point F, which is positioned 9m away from the goal line in the indicated direction.
- Identify the vertex of the parabola as the maximum height point of 6m, ensuring the correct positioning relating to the kick's direction.
- Use the geometric properties of parabolas to illustrate the trajectory path. The horizontal distance for drawing must be 6m from point F to complete the parabola curvature.
- Assess if the parabola crosses above or below the crossbar by referencing its trajectory against the goal post height.