SUVAT Equations for Vectors - Is it the Same?

[nokia8650]

When quoting the suvat equations for vectors, are they exactly the same as the normal ones, apart from the fact that the letters (apart from t) have "lines" underneath them?

Thanks

 

[Chi Meson]

the "suvat" equations ARE vector equations. The "s" is specifically the displacement vector; u and v are velocity vectors; a is the acceleration vector. Usually you learn to use suvat in "unilinear" motion which is one dimensional. When doing so, the mathematics is the same as simple algebra. If you are working in two or three dimensions, then your operations for adding and multiplying vectors gets a bit more complicated.

Instead of v=35m/s, for example, you get v=35î +23ˆj +12ˆk m/s, etc.

So the equations themselves are the same. You can indicate vectors with the "harpoon" over the letter, or "blackboard bold" (my favorite) or any other conventional vector indication, but usually "suva" are all assumed to be vectors. I wouldn't worry about it in homework, or quick calculations, but in any report or other typed format, I'd at least indicate all vector varibles in bold type.

 

[Moetasim]

for your question. The short answer is yes, the SUVAT equations for vectors are essentially the same as the normal ones. The main difference is the inclusion of the vector notation, which is indicated by the lines underneath the letters (except for t, as you mentioned). This notation is used to represent the magnitude and direction of a vector, as opposed to just the magnitude in the normal equations.

It is important to note that the SUVAT equations for vectors are typically used in more advanced physics and mechanics problems, where the motion of objects is not limited to just one dimension. In these cases, it is necessary to consider the vector components of displacement, velocity, and acceleration in order to accurately describe the motion.

Furthermore, the use of vector notation allows for a more concise and organized representation of the equations, making it easier to solve complex problems involving multiple vectors. So while the SUVAT equations for vectors may look slightly different, they ultimately serve the same purpose as the normal equations and can be used interchangeably in most cases.

In summary, the SUVAT equations for vectors are essentially the same as the normal ones, but with the addition of vector notation to represent both magnitude and direction. This notation is particularly useful in more advanced physics problems involving motion in multiple dimensions. I hope this helps clarify any confusion you may have had. Happy solving!