# Optimal Javelin Throw Angle Measurement & Graphing

Learn about optimal javelin throw angles, height of throw, and the relationship between the two with this Summer Olympics optimal throw javelin angle measurement activity.

This sports STEM activity challenges students to measure the height of release and angle of release to determine whether an athlete is in position for an optimal javelin throw.

## Common Core Standards Math

This activity supports the following CCSS math standards.

CCSS4.MD.C.6 – Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

CCSS4.MD.C.5 – Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.

## What is a Javelin?

A javelin is a light spear that is thrown by hand for sport. In Ancient Greece, the javelin was used as a weapon and later evolved into a sports event and one of the Athletics field events in the modern Olympic Games.

### How do you throw a javelin?

To throw a javelin, an athlete holds the javelin in one arm and throws it as far as possible while running. A javelin can reach speeds up to 100km/h (about 62mph).

The world record for the javelin throw is 98.48m set by Jan Železný in 1996. The Tokyo 2020 Summer Olympics features Johannes Vetter who has thrown more than 90m seven times this year.

## How do Angles affect Javelin Throws?

According to a case study published by Quintic Sports, the optimal release angle of the javelin throw is between 34° to 36°. Taller javelin athletes should decrease the angle of release and shorter javelin athletes should increase the angle of release.

The distance that a javelin travels depends on the speed that the javelin is thrown at, the angle of release, the height that the javelin is released from the ground, and the acceleration due to gravity.

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## Optimal Javelin Throw Angle Measurement

This activity is designed to follow a similar method that the researchers used to help determine the optimal release angle of a javelin throw by calculating the angle of release to make deductions about the relationship between the height of release and the angle measurement at that height.

### You’ll need the following materials:

• Ruler
• Protractor (if you don’t have a protractor, we’ve included a printable one in the workbook as well!)
• Optimal Throw Javelin Analysis Worksheets (grab these for free at the end of this post!)

Optional:

## What is the Height of Release in the Javelin Throw

The height of release is the distance from where the hand is holding the javelin to the ground. The height of release is provided (in inches) on the worksheets for each javelin athlete in the table on the first page.

If the relative height of the javelin increases, the angle of release should decrease. If the relative height of the javelin decreases, the angle of release should increase. This helps for athletes to make adjustments to the angle of release based on their height as well.

## Measure the Angle of Release of each Javelin Throw

Use a protractor to measure the angle of release of the javelin throw. The angle of release is the angle of the javelin to the ground. If you do not have a protractor, there is a printable protractor on the last page of the the free optimal javelin throw workbook.

### Measuring Angles

Angles are measure in degrees. A protractor is a mathematics tool that measures how many degrees an angle is. To use a protractor, line up the dot on the center of the bottom of the protractor with the vertex (intersecting point) of the angle.

Make sure that the 0° mark lines up with one arm of the angle and then read the protractor to see where the other arm of the angle lines up.

## Analyze the Data

Use a bar graph to graph the angle of release of each throw on the vertical axis using the height of release provided on the horizontal axis. Is the relationship between the data a direct or inverse relationship? Does your data form a proportional relationship? Why or why not?

### Use a graph to represent the relationship between the data.

Use a bar graph to visualize the data and determine the relationship between the angle of release and the height of release.

Is the relationship between the data a direct relationship or an inverse relationship? Does the data form a proportional relationship?

#### What is a Direct Relationship?

A direct relationship occurs when one variable increases, so does the other variable. In this case, if the height of the release increased, the angle of measurement would increase in a direct relationship. The resulting graph would look like a straight line.

#### What is an Inverse Relationship?

In an inverse relationship, if you increase one variable, the other variable will decrease. This type of relationship forms a curving graph where the decline is fast at first, but slows down as the variables increase. In this activity, as the height of release (x) increases, the angle of measurement (y) does what?

#### Does the data form a proportional relationship?

No, the data does not form a proportional relationship. There are other factors that determine a javelin throw including wind speed, velocity of the throw, and more. A proportional relationship is one that as one variable (x) changes, the other variable (y) changes by the same percentage. In this activity, the data does not increase or decrease at a constant rate.

## Conduct the Activity Outside

For even more fun, use your knowledge of the relationship between height of release and angle of release to practice throwing a “javelin” in your backyard.

You can use a pool noodle, broom stick, or large stick to throw. Measure your distance and see how far the stick travels when you throw at different angles.

Does the real life application follow the data you graphed? Why or why not? My teen conducted the outside experiment. She is 5ft 3in, so she decided to throw her first shot at a normal angle. It was about 35° ish. The broom stick traveled 18ft.

On her second attempt, she opened up her angle to around 45-50° and the broom traveled a whopping 32ft!

## Olympic Games Activities for Kids

Find more hands-on learning activities that are perfect for learning about the Olympics!

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