# Consider an object moving along a line with the following

Last updated: 1/31/2024

Consider an object moving along a line with the following velocity and initial position Assume time t is measured in seconds and velocities have units of m s Complete parts a through d bela 4 v t 2 2cos nt for Osts sis 0 0 The object is moving in a positive direction over the interval 0 1 and is moving in a negative direction over the interval Type your answers in interval notation Type exact answers using as needed b Find the displacement over the given interval 1 8856 m Round to the nearest hundredth as needed c Find the distance traveled over the given interval 1 3 1 8856 Round to the nearest hundredth as needed d Determine the position function s t using the Fundamental Theorem of Calculus Check your answer by finding the position function using the antiderivative method 3