Calculus 1000A/B Lecture 1: 1.5 Velocity and Other Rates of Change

• School: Western University
• Department: Calculus
• Course: Calculus 1000A/B
• Professor: Rasul Shafikov

Document Summary

, where s is the change in position of the function and. In general, if an object is moving along a straight line, we can define the motion of an object according to the position function. In the time interval from t = a to t = a + h , the change in position is s = f (t) S = f (a + h) f (a) . S f (a + h) f (a) Then, to find the instantaneous velocity at some time a, we use limits to get v(a) = lim. = lim h 0 f (a + h) f (a) h. Consider some function y = f (x) . Y = f (x2 ) f (x1) The average rate of change of y with respect to x is. X f (x2 ) f (x1) x2. X1 x2 f (x2 ) f (x1) x2.