Long Jump

The act of stepping on the take-off board with a run and jumping long distance is called long jump. Good long jump requires a fast running, good take off, jumping high and proper landing. This note briefly describes practicing long jump.

Summary

The act of stepping on the take-off board with a run and jumping long distance is called long jump. Good long jump requires a fast running, good take off, jumping high and proper landing. This note briefly describes practicing long jump.

Things to Remember

  • The act of stepping on the take-off board with a run and jumping long in called long jump. Good long jump requires a fast running, good take off, jumping high and proper landing.
  • The gradual running before attempting the actual long jump in called approach run.
  • Our running velocity should be very high just before reaching the take off board. Three or four steps before the take off the feet should be adjusted for the take-off.
  • After the take-off we should fly forward and upwards and the activity executed in the air in called flight. Here we will practice hang style for the flight with hands stretched upwards.
  • At the time of landing both the hands should be pulled forward hard and both the legs also should be kicked forward.

MCQs

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Subjective Questions

Q1:

Find the image of the points P (3, 2) under the translation (x, y) → (x+2, y-2).

 


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>The translation is (x, y) &rarr; (x+2, y-2)</p> <p>The translation tells you to add 2 to the x-value and subtract 2 from the y- value.</p> <p>So, the image of (3, 2) &rarr; (3+2, 2-2) = (5, 0)</p>

Q2:

Translate the given triangle 9 units and 7 units down.

 


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>To translate then the above triangle, we proceed as follows:</p> <p>(x, y) &rarr; (x+9, y-7)</p> <p>(-6, 6) &rarr; (-6 + 9, 6 -7) = (3, 1)</p> <p>(-6, 1) &rarr; (-6 + 9, 1 - 7) = (3, -6)</p> <p>(-1, 1) &rarr; (-1 + 9, 1-7) = (8, -6)</p>

Q3:

The vertices of \(\triangle\)ABC are A(0, 6), B(3, -2) and C(4, 0). Translate \(\triangle\)ABC, 5 units upward. Draw \(\triangle\)ABC and its image on the graph.


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>The vertices of \(\triangle\) are A(0, 6), B(3, -2) and C(4, 0).</p> <p>Translation vector (T) =\(\begin{pmatrix} 0\\5 \end{pmatrix}\)</p> <p>When , T =\(\begin{pmatrix} a\\b \end{pmatrix}\), P(x, y) \(\rightarrow\) P'(x+a, y+a)</p> <p>\(\therefore\) A(0, 6)\(\rightarrow\) A'(0+0, 6+5) = A'(0, 11)</p> <p>B(3, -2)\(\rightarrow\) B'(3+0, -2+5) = B'(3, 3)</p> <p>C(4, 0) \(\rightarrow\) C'(4+0, 0+5) = C'(4, 5)</p> <p>\(\triangle\)ABC and \(\triangle\)A'B'C' are shown on the graph.</p> <figure class="inline-left" style="width: 350px;"><img src="/uploads/qa.PNG" alt="." width="350" height="241"><figcaption><br></figcaption></figure><p></p> <p></p>

Q4:

Find the image of the points, P(-1, -3) and Q(4, 5) under the translation (x,y) \(\rightarrow\)(x+y)(y-3)?


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>Given points, P(-1, -3) and Q(4,5)</p> <p>The translation is (x,y) \(\rightarrow\)(x+2,y-3)</p> <p>The translation tells you to add 2 to the x-value and subtract 3 from the y-value.</p> <p>P(-1,-3)\(\rightarrow\)P(-1 +2,-3+3) = P'(1,0)</p> <p>Q (4,5)\(\rightarrow\)Q'(4+2,5+3) = Q'(6,8)</p> <p>Presenting in the Graph.</p>

Q5:

A(1,0), B(4,5) and C(7,-2) are the vertices of \(\triangle\)ABC. Sketch in graph and transform it with translation (x,y)\(\rightarrow\)(x+3,y-5)?


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>Given points are, A(1,0), B(4,5) and C(7,-2). The translation tells you to add 3 to the x-value and subtract 5 from the y-value.</p> <p>So, A(1,0)\(\rightarrow\)A(1+3, 0-5) = A'(4, -5)</p> <p>B(4,5)\(\rightarrow\)B'(4+3, 5-5) = B'(7,0)</p> <p>C(7,-2)\(\rightarrow\)C'(7+3, -2-5)=C'(10,-7)</p> <figure class="inline-left" style="width: 350px;"><img src="/uploads/qa2.PNG" alt="." width="350" height="241"><figcaption><br></figcaption></figure><p>Presenting \(\triangle\)ABC in the graph.</p>

Q6:

Find the image of the points (4,6), (7,5), (5,1) and (2,2) under the translation (x,y)\(\rightarrow\) (x+4, y-5)?


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>Let the given points (4,6), (7,5), (5,1), (2,2) be A, B, C and D</p> <p>To translate the above triangle, we proceed as follows:</p> <p>A(4,6)\(\rightarrow\)A'(4-4, 6-5) = A'(0,1)</p> <p>B(7,5)\(\rightarrow\)B'(7-4, 5-5) = B'(3,0)</p> <p>C(5,1)\(\rightarrow\)C'(5-4, 1-5)= C'(1-4)</p> <p>D(2,2)\(\rightarrow\)D'(2-4, 2-5)=D'(-2, -3)</p> <p>Presenting in graph.</p> <figure class="inline-left" style="width: 350px;"><img src="/uploads/qa4.PNG" alt="." width="350" height="241"><figcaption><br></figcaption></figure><p></p>

Q7:

Find the image of the point A(4,1) under the translation (x,y)\(\rightarrow\) (x+5, y-4) and again, (x+2, y-5)?


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>Here, points A(4,1) is translated to,</p> <p>A(4,1)\(\rightarrow\)A' (4+5, 1+4) = A'(9,5)</p> <p>Again, image A'(9,5) is translated to,</p> <p>A'(9,5) \(\rightarrow\) A''(9+2, 5-5) = A''(11,0)</p> <p>Showing in the graph:</p>

Q8:

Under the translation of the  points (-3,5) to (4,5), how much units are required. Find in the graph?


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>Let, a unit is added in x-axis and b unit is added to y-axis to translate the points (-3,5) to (4,5).</p> <p>Therefore,</p> <p>(-3 +a, 5 +b) = (4,5)</p> <p>or, -3+a = 4 and 5+b =5.</p> <p>or, a = 7 and b=0</p> <p>Here, 7 units are added to the x-axis and 0 units are added to y-axis to translate the points(-3,5) to (4,5).</p> <p>Presenting in the Graph.</p>

Q9:

The  Vertices of \(\triangle\)PQR are P(3,1), Q(4,3) and R(1,4). Translate \(\triangle\)PQR by the translation on vector (\(\frac{3}{4}\)) and  draw \(\triangle\)PQR and \(\triangle\)P'Q'R'.


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>Translation on Vector T=(\(\frac{3}{4}\))</p> <p>When translation on vector T=(\(\frac{a}{b}\)), then,</p> <p>P(x,y) = P'(x+a, y+b)</p> <p>P(3,1) = P'(3+3, 1+4) = P'(6,5)</p> <p>Q(4,3) = Q'(4+3, 3+4) = Q' (7,7)</p> <p>R(1,4) = R' (1+3, 4+4) = R' (4,8)</p> <figure class="inline-left" style="width: 350px;"><img src="/uploads/graph.PNG" alt="." width="350" height="239"><figcaption><br></figcaption></figure>

Q10:

Show points (4, -5) in a graph, under the translation of 3 units right and 4 units up.


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>According to the question,</p> <p>Presenting the points A(4, -5) in the graph, under the translation of 3 units right and 4 units up.</p> <p>A(4, -5) \(\rightarrow\) A'(4+3, -5+4) = A'(7, -1)</p> <p>Here,</p> <p>A(4, -5) \(\rightarrow\)A' (7, -1)</p> <p>Showing in the graph.</p> <figure class="inline-left" style="width: 350px;"><img src="/uploads/graph1.PNG" alt="." width="350" height="239"><figcaption><br></figcaption></figure><p></p>

Q11:

A(4, 5), B(1, 3) and C(4, 3) are the vertices of \(\triangle\)ABC. Sketch in graph, under the translation of  5 units right and 4 units up.


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>The translation tells us to add 5 to the x-value and add 4 units to the y-axis.</p> <p>According to the Question,</p> <p>\(\triangle\)ABC \(\triangle\)A'B'C'</p> <p>A(4,5)\(\rightarrow\) A'(9,9)</p> <p>B(1,3)\(\rightarrow\) B'(6,7)</p> <p>C(4,3)\(\rightarrow\) C'(9,7)</p> <p>Presenting in the graph.</p> <figure class="inline-left" style="width: 350px;"><img src="/uploads/graph2.PNG" alt="." width="350" height="239"><figcaption><br></figcaption></figure>

Q12:

A(-2, 2), B(-3, -2), C(3, -2) and D(2,2) are the Vertices of Quadrilaterals .Find  in graph, in the translation  of 3 units  left and 4 units up.


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <p>Solution:</p> <p>Here, A(-2, 2), B(-3, -2), C(3, -2) and D(2, 2) is given,</p> <p>The translation tells us subtract 3 to the x-value and add 4 units to the y-axis.</p> <p>So, A(-2, 2)\(\rightarrow\) A(-5, 6)</p> <p>B(-3, -2)\(\rightarrow\) B(-6, 2)</p> <p>C(3, -2) \(\rightarrow\) C(0, 2)</p> <p>D(2, 2)\(\rightarrow\) D(-1, 6)</p> <p>Presenting in the graph.</p> <figure class="inline-left" style="width: 350px;"><img src="/uploads/graph3.PNG" alt="." width="350" height="239"><figcaption><br></figcaption></figure>

Q13:

1. Identify true or false.

a) Under the translation T(-1, 2), the point (-2, 3) will become (-3, 1)

b) Under the translation (x,y) \(\rightarrow\) (x+3, y+2), the point (2,5) will become (5,7)

c) Under a translation of 5 units up and 2 units to the left, the point (3,4) will become (8,6) 


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p></p> <p>Solution:</p> <p>a) False</p> <p>b) True</p> <p>c) True</p>

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Long Jump

Long Jump

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Long Jump

The act of stepping on the take-off board with a run and jumping long distance is called long jump. Good long jump requires a fast running, good take off, jumping high and proper landing. We will explain them step by step as under:

Approach Run

The gradual running before attempting the actual long jump is called approach run. The runway should be approximately 30 meters. Running speed should be at the maximum controlled speed at the take off board. Controlled speed means to be able to see the take-off board while running and save capacity to jump from the take-off board. This way, in the beginning the athlete should run slowly then accelerate the speed gradually as the take-off board approaches closer.

Take Off

Our running velocity should be very high just before reaching the take-off board. Three or four steps before the take off the feet should be adjusted for the take-off. At the time of take-off, the body should be straight. After stepping with the take-off foot on the take-off board, the other leg should be kicked in front and high and leave the ground. At this time, we should pull the arms forward and upwards from behind.

Flight

After the take-off, we should fly forward and upwards and the activity executed in the air in called flight. Here we will practice hand style for the flight with hands stretched upwards.Once we fly up from the take-off board then we pull the leading leg backward. This action brings both the legs behind the body. While kicking backward, the action of the hands also should be as if they are in a hanging position and this enables the body to come forward.

Landing

At the time of landing both the hands should be pulled forward hard and both the legs also should be kicked forward. When we are about to land our feet in the sand pit, then the feet should be brought forward and together trying to push the body forwards as well.

Activities

Mainly the approach and the take-off should be proper while practicing long jump. If the approach and take-off are not properly executed then it in not be possible to increase the distance of the jump. If any athlete runs well and executes take-off from the proper place then his approach and take-off in considered to be good. We have to practice many times for this. First we should step with left foot near the take-off board and run 20 meters on the runway towards approach as if we are running for the long jump. The 20th step should be marked. After this, if we put the left foot behind the mark and run 20 steps then we step on the take-off board with our left leg. If we practice this 5-6 times a day we should be able to take-off properly. If our takeoff foot in right then the leg’s positioning should be vice versa or opposite.

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Practice of Flight and Landing

One 30-40 centimeters tall box, bench or any hard material should be kept to practice the flight and landing. If a springboard in available then it in much better. He should run a few steps and take off from it and jump high. When you are about to reach the maximum height stretch your hands and legs backward then bring them forward for landing. If this exercise in also practiced a few times daily then you should be able to execute the good long jump.

Lesson

Athletics

Subject

Health and Physical Education

Grade

Grade 8

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