![]() Assume that Timothy's displacement function #x(t)# can be modeled as #x(t) = t^2 - 5t + 4#. For example, suppose Timothy is moving along a track of some kind. Typically, when confronted with a problem, it will be fairly evident whether instantaneous velocity or average velocity is called for. Meanwhile, the average velocity is equal to the slope of the secant line which intersects the function at the beginning and end of the interval. Graphically, the instantaneous velocity at any given point on a function #x(t)# is equal to the slope of the tangent line to the function at that location. ![]() ![]() ![]() The instantaneous velocity is the specific rate of change of position (or displacement) with respect to time at a single point #(x,t)#, while average velocity is the average rate of change of position (or displacement) with respect to time over an interval. ![]()
0 Comments
Leave a Reply. |