Projectiles
2-dimensional motion (CSCS-2)
2-dimensional motion (CSCS-2)
ENGAGE
IMAGE CREDIT: https://trackandfieldnews.com/article/2019-womens-javelin-world-rankings/
How would you figure out exactly where the athlete's javelin will land?
Use one of the options below to put your response on the Padlet.
EXPLORE
If an object is launched with speed and direction, we can safely say it is a vector, which we can call velocity. If that same object is launched above the horizontal of any angle theta, it will consist of the x and y components of its velocity.
If an object is thrown straight up, it will only contain a vertical velocity in the y-axis.
The x-axis and y-axis operate independently from one another. Thus, if you decrease the vertical component, it will not change the horizontal component and vice versa.
Use the Phet simulation below to investigate the velocities of the projectiles.
Things to try:
Set the height of the launcher at zero
Select Velocity Vector Components
Do not include air resistance
Use slow motion to see the changes more clearly.
Use the measuring tape to compare velocities at different points after pausing at different points in the projectile's path
Change the angle of the launcher to see if that impacts the relationship of the x and y velocities.
Click on the button below to access a graphing activity based on the PhET simulation.
EXPLAIN
Is the velocity in the x-axis independent of the velocity in the y-axis, or do they affect one another?
Post your comment on the padlet in the chat format.
ELABORATE
WHAT DO YOU NOTICE?
Play Angry Birds. Think about the questions below as you play the game.
What are the different changes you can make to allow the birds to land in different places?
At about what angle does a bird fly the farthest when launched? Use the Grid Ruler chrome extension to measure your angles.
What happens if you point the slingshot straight up? Directly to the side?
What are your observations? Click on the button below and write down your observations on a sticky note in the Jamboard.
EVALUATE
Use the "Big 5" Equations to answer the following question on the google form below:
"If a javelin is launched with an initial velocity of 20 m/s at an angle of 30 degrees from the horizontal, how far will the javelin travel horizontally?"
*Use -10 m/s/s as your value for acceleration due to gravity
EXTEND
What release angle would result in the farthest javelin throw? Post on the jamboard.