How the acceleration vector affects the velocity vector: qualitative change in speed and direction. скачать в хорошем качестве

How the acceleration vector affects the velocity vector: qualitative change in speed and direction.

We discuss how the acceleration vector affects the velocity vector in a variety of examples. 🧠 Access full flipped physics courses with video lectures and examples at https://www.zakslabphysics.com/ We begin with the one-dimensional cases, where we find that an acceleration vector pointing in the same direction as the velocity vector implies that the object is speeding up. We also find that an acceleration vector in the opposite direction of velocity will cause the object to slow down. Next, we extend to two dimensions, where we have to break the acceleration vector into parallel and perpendicular components relative to the velocity vector. If the parallel component of the acceleration is in the same direction as the velocity vector, the velocity vector grows longer and the object speeds up. Conversely, if the parallel direction of the acceleration vector points opposite to the velocity vector, the object will slow down. The perpendicular component of the acceleration vector guides the direction of the velocity vector: it can cause the velocity vector to turn clockwise or counterclockwise depending on the orientation of the vector. Finally, we discuss the case in which the acceleration vector is always perpendicular to the velocity vector. In this case, the velocity vector turns while the speed stays the same. This is precisely the case in uniform circular motion, where we see that acceleration must always be perpendicular to the velocity vector in order for the speed to remain constant.