In the first part of projectile motion, you just looked at different methods for determining the launch speed of the ball. In this lab, you are going to predict where the ball will land if you shoot it at different angles and from different heights.
There are two excellent methods for determining where the ball will land.
First - analytically
The key to projectile motion is that the horizontal motion and the vertical motion can be treated as two independent motions. The only thing these two motions have in common is the time. Instead of going through all this again, I suggest you read the following
Projectile Motion
An extra hint. In many cases, you are going to end up with a quadratic equation. Don’t try to factor it, you will just hurt yourself. Use the quadratic equation:
This give you two solutions. If you are using it to find the time (likely) then don’t use the negative time.
Next - numerical calculation
This is a great chance to practice your numerical calculations.
This will get you started if you want to do it in a spreadsheet.
This will get you started if you want to do it with python.
Experimental
What is the point of calculating where the ball will land if you don’t actually do it also. Pick an angle and measure the height of the launch point of the ball. From this and with the calculated velocity, determine where it is going to land.
Here is the cool part, also determine the uncertainty in the distance the ball will go. Measure this distance and draw a circle on a piece of paper that has a radius equal to the uncertainty of the distance calculation. Your ball should land in this circle.