10) A particle is moving along the x-axis. The graph at right shows its velocity over time. The numbers shown are the areas of the regions. a) Approximately when, in the interval (0,c), does the particle reach its greatest speed? 4. 24 b) Approximately when does the particle have an acceleration of zero? c) What is the particle's displacement at time t = c? {This counts as three separate problems – they each may be correct or have an error.} Solution? a) The greatest speed is at the largest value; that is, somewhere approximately in the middle of the interval [a, b]. b) The particle has an acceleration of zero at t = 0, a, b, & c as that is when the graph crosses the t-axis. c) The displacement at t = c is just 4 + 5+ 24 = 33 units.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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10) A particle is moving along the x-axis. The graph at right shows its velocity over
time. The numbers shown are the areas of the regions.
a) Approximately when, in the interval [0, c], does the particle reach its greatest
speed?
4 fa
24
b) Approximately when does the particle have an acceleration of zero?
c) What is the particle's displacement at time t = c?
{This counts as three separate problems - they each may be correct or have an error.}
Solution?
a) The greatest speed is at the largest value; that is, somewhere approximately in the middle of the interval [a, b].
b) The particle has an acceleration of zero at t = 0, a, b, & c as that is when the graph crosses the t-axis.
c) The displacement at t = c is just 4 + 5+ 24 = 33 units.
Transcribed Image Text:10) A particle is moving along the x-axis. The graph at right shows its velocity over time. The numbers shown are the areas of the regions. a) Approximately when, in the interval [0, c], does the particle reach its greatest speed? 4 fa 24 b) Approximately when does the particle have an acceleration of zero? c) What is the particle's displacement at time t = c? {This counts as three separate problems - they each may be correct or have an error.} Solution? a) The greatest speed is at the largest value; that is, somewhere approximately in the middle of the interval [a, b]. b) The particle has an acceleration of zero at t = 0, a, b, & c as that is when the graph crosses the t-axis. c) The displacement at t = c is just 4 + 5+ 24 = 33 units.
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