a. Determine when the motion is in the positive direction and when it is in the negative direction b. Find the displacement over the given interval. c. Find the distance traveled over the given interval v(t) 2t2 16t 24; [0,7]

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

Consider an object moving along a line given the velocity v. Assume t is time measured in seconds and velocities have units of m/s.  Complete parts a through c.

a. Determine when the motion is in the positive direction and when it is in the negative direction
b. Find the displacement over the given interval.
c. Find the distance traveled over the given interval
v(t) 2t2 16t 24; [0,7]
Transcribed Image Text:a. Determine when the motion is in the positive direction and when it is in the negative direction b. Find the displacement over the given interval. c. Find the distance traveled over the given interval v(t) 2t2 16t 24; [0,7]
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