A1). Suppose an object is moving in a straight line, and the object's position (in meters) after t seconds is given by s(t) = 5t² + 7 a). Find the object's average rate of change in position over the time period from t=7 to t=9. b). Suppose we’re interested in looking at what happens during an arbitrary number of seconds (h seconds) past time t = 7. That is, we want to look starting at time t = 7 and ending at timet=7+h. Find the average rate of change of position for the time period from t = 7 to t= 7+ h, where h is a constant. Simplify your expression fully. c). Evaluate your expression from part b, for the following 3 values: h=1, h = 0.5, and h = 0.1. Include units. What is the physical meaning of the numbers you computed? d). What happens to your expression as h becomes very close to zero? What is the physical interpretation of considering such values of h?

A1). Suppose an object is moving in a straight line, and the object's position (in meters) after t seconds is given by s(t) = 5t² + 7 a). Find the object's average rate of change in position over the time period from t=7 to t=9. b). Suppose we’re interested in looking at what happens during an arbitrary number of seconds (h seconds) past time t = 7. That is, we want to look starting at time t = 7 and ending at timet=7+h. Find the average rate of change of position for the time period from t = 7 to t= 7+ h, where h is a constant. Simplify your expression fully. c). Evaluate your expression from part b, for the following 3 values: h=1, h = 0.5, and h = 0.1. Include units. What is the physical meaning of the numbers you computed? d). What happens to your expression as h becomes very close to zero? What is the physical interpretation of considering such values of h?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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