MAT-262 Lecture Notes - Lecture 9: Unit Vector, Dot Product, Osculating Plane
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10. 9 motion in space - velocity and acceleration notes: sterling. Provide a generalization to each of the key terms listed in this section. If you have a particle that"s moving through space, then you can get r(t) be the position vector while at t (the time). Magnitude helps determine the actual size of the vector"s displacement per unit time. Thanks to the limit, then it means that the vector vector is also classi ed as the tangent vector in this case along with the general point being on the tangent line"s general direction. A particle"s speed while it at a certain t (time) would also be known as the velocity vector"s magnitude, which can be classi ed as the following: If that is the case, then following is how the writing can be for the speed (as the general rate of change (of the given distance) while it"s respective to its time):