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) below. v(t) = √3-2cos π 6 for 0 ≤t≤6; s(0) = 0 a. Over the given interval, determine when the object is moving in the positive direction and when it is moving in the negative direction. The object is moving in a positive direction over the interval and is moving in a negative direction over the interval 0. (Type your answers in interval notation. Type exact answers, using as needed.) b. Find the displacement over the given interval. (Round to the nearest hundredth as needed.) c. Find the distance traveled over the given interval. (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. s(t) =

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) below. v(t) = √3-2cos π 6 for 0 ≤t≤6; s(0) = 0 a. Over the given interval, determine when the object is moving in the positive direction and when it is moving in the negative direction. The object is moving in a positive direction over the interval and is moving in a negative direction over the interval 0. (Type your answers in interval notation. Type exact answers, using as needed.) b. Find the displacement over the given interval. (Round to the nearest hundredth as needed.) c. Find the distance traveled over the given interval. (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. s(t) =

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Description: question in image Consider an object moving along a line with the following velocity and initial position. Assume time t is measured inseconds and velocities have units of m/s. Complete parts (a) through (d) below.v(t) = √3-2cos(1¹).6for 0 ≤t≤6; s(0)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 33P: In SI units, speeds are measured in meters per second (m/s). But, depending on where you live,...

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