The velocity of an object moving along an axis is given by

Last updated: 4/26/2023

The velocity of an object moving along an axis is given by the piecewise linear function v that is pictured in Figure 4 3 12 Assume that the object is moving to the right when its velocity is positive and moving to the left when its velocity is negative Assume that the given velocity function is valid for t 0 to t 4 a Write an expression involving defi nite integrals whose value is the to tal change in position of the object on the interval 0 4 b Use the provided graph of v to determine the value of the total change in position on 0 4 c Write an expression involving defi nite integrals whose value is the to tal distance traveled by the object on 0 4 What is the exact value of the total distance traveled on 0 4 d What is the object s exact average velocity on 0 4 e Find an algebraic formula for the object s position function on 0 1 5 that satisfies s 0 0 H 1 2 ft sec 1 2 3 y v t sec 4 Figure 4 3 12 The velocity function of a moving object