Also, I have a ton more questions
Where do you use that formula for the v^2, how did the thing for the horizontal motion work, it was way too fast, and what did delta x mean, along with just x. If delta x is displacement, what is x? Is it a position or something? Why did we have 2deltax in the last equation? Why is that a difference of squares? How do you use the vector thing in equations? How is displacement area and also that line in a vector? How did you get -44 when the question said 22 and how did you get the time after that? This is super confusing, and I'm probably going to be more confused when I do the problem set. Was that line resulting from a vector or displacement? Why does the addition rule work? I thought two sides of a right triangle squared were equal to the hypotenuse squared? Does the addition rule work for displacement only? Why? This is P1
ok thanks
Hey Dwight, I'm going to try my best to answer these...
If your interested in deriving the DVAT equations, take a look at this helpful video: https://www.youtube.com/watch?v=ZT1pwB8FFsg. That's why the equations look as they do. If you have questions about the equations, make sure to completely understand the video before asking again.
Delta x represents displacement, or the change in position. x here is position.
The displacement between two times t=a and t=b is equal to the area bounded by the velocity-time graph, the t-axis, and the lines t=a and t=b (this is just a rule that you need to know). Displacement is a vector as well. In 1D, you can have a negative displacement (notice the direction). If your velocity-time curve is below the t-axis, then you technically have a negative area which corresponds to backwards or negative displacement.
I will post a written out solution to the soccer ball question in the folder in a bit. You can take a look at that if some parts didn't make sense.
We've already established that displacement is a vector. If we represent two different displacements as vectors, we can determine the net or total displacement by adding the two vectors. If vector addition didn't make sense to you, please check this out: https://www.youtube.com/watch?v=HseRUq-IACw.
Vector addition is valid for any vector quantity, not just displacement. This includes displacements and even velocities and forces (which we will see a bit later).
Most of your questions seem to be about the math behind the physics. The prerequisite for this course is NC Math 3. If you haven't learned about basic trig, geometry, and vectors already, we urge you to brush up on these concepts as it's hard to understand physics without a good enough math background.
I'm happy to answer any more SPECIFIC questions you may have.