1 The situation is obviously more complicated when the velocity function is not constant. For several examples where the velocity function is piecewise constant, see. Note, too, that we could use any value of v(t) on the interval, since the velocity is constant we simply chose v(a), the value at the interval’s left endpoint. Thus, if v(t) is constant on the interval, then the 210 distance traveled on is the area A that is given by A = v(a)(b − a) = v(a)4t, where 4t is the change in t over the interval. This principle holds in general simply due to the fact that distance equals rate times time, provided the rate is constant. Moving at 2 miles per hour over the time interval, then the area A1 of the shaded region under y = v(t) on is A1 = 2 miles hour ![]() ![]() As seen at left in Figure 4.2, if we consider an objectįigure 4.2: At left, a constant velocity function at right, a non-constant velocity function.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |