The function x(t) = 0.5(t-0.5) (t-1)(t-5), where 0 ≤t≤ 6, describes the 1D motion of an object along a horizontal line. Position, x, is in meters, m. Time, t, is in seconds, s. Find the velocity and acceleration functions, then use calculus to determine the intervals identified below. Describe what is happening in each interval (e.g., on the left vs. on the right). NOTE: Follow the instructions for directions presented in class. A. Velocity and Acceleration Functions [1+1+1=3 A] B. Intervals of Position [(1.5 + 1) x 4 = 10 A] C. Intervals of Velocity [2.5+ (1.5 +1) x 3 = 10 A] D. Intervals of Acceleration [(1.5 +1) x 2 = 5 A]

The function x(t) = 0.5(t-0.5) (t-1)(t-5), where 0 ≤t≤ 6, describes the 1D motion of an object along a horizontal line. Position, x, is in meters, m. Time, t, is in seconds, s. Find the velocity and acceleration functions, then use calculus to determine the intervals identified below. Describe what is happening in each interval (e.g., on the left vs. on the right). NOTE: Follow the instructions for directions presented in class. A. Velocity and Acceleration Functions [1+1+1=3 A] B. Intervals of Position [(1.5 + 1) x 4 = 10 A] C. Intervals of Velocity [2.5+ (1.5 +1) x 3 = 10 A] D. Intervals of Acceleration [(1.5 +1) x 2 = 5 A]

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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