A body moves on a coordinate line such that it has a position s= f(t)=12-5t+4 on the interval 0 st≤9, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? The body's displacement for the given time interval is r m. (Type an integer or a simplified fraction.) The body's average velocity for the given time interval is m/s. (Type an integer or a simplified fraction.) The body's speeds at the left and right endpoints of the interval are (Type integers or simplified fractions.) ☐n m/s and m/s, respectively. OA. The body changes direction at t = S (Type an integer or a simplified fraction.) B. The body does not change direction during the interval. m/s² The body's accelerations at the left and right endpoints of the interval are (Type integers or simplified fractions.) When, if ever, during the interval does the body change direction? Select the correct choice below and fill in any answer boxes within your choice. and m/s², respectively.
A body moves on a coordinate line such that it has a position s= f(t)=12-5t+4 on the interval 0 st≤9, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? The body's displacement for the given time interval is r m. (Type an integer or a simplified fraction.) The body's average velocity for the given time interval is m/s. (Type an integer or a simplified fraction.) The body's speeds at the left and right endpoints of the interval are (Type integers or simplified fractions.) ☐n m/s and m/s, respectively. OA. The body changes direction at t = S (Type an integer or a simplified fraction.) B. The body does not change direction during the interval. m/s² The body's accelerations at the left and right endpoints of the interval are (Type integers or simplified fractions.) When, if ever, during the interval does the body change direction? Select the correct choice below and fill in any answer boxes within your choice. and m/s², respectively.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Must solve all three parts a, b and c. Don't solve it partially pls. If u do, I will dislike it. So skip it if u don't want to solve all parts.
Transcribed Image Text:A body moves on a coordinate line such that it has a position s= f(t)=12-5t+4 on the interval 0 st≤9, with s in meters and t in seconds.
a. Find the body's displacement and average velocity for the given time interval.
b. Find the body's speed and acceleration at the endpoints of the interval.
c. When, if ever, during the interval does the body change direction?
The body's displacement for the given time interval is
(Type an integer or a simplified fraction.)
m.
The body's average velocity for the given time interval is m/s.
(Type an integer or a simplified fraction.)
The body's speeds at the left and right endpoints of the interval are
(Type integers or simplified fractions.)
m/s and m/s, respectively.
OA. The body changes direction at t= S.
(Type an integer or a simplified fraction.)
OB. The body does not change direction during the interval.
The body's accelerations at the left and right endpoints of the interval are m/s² and m/s²,
(Type integers or simplified fractions.)
When, if ever, during the interval does the body change direction? Select the correct choice below and fill in any answer boxes within your choice.
www
respectively.
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