9 A body moves on a coordinate line such that it has a position s 1 2 ton the interval 1 st 3, 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.) The body's average velocity for the given time interval is (Type an integer or a simplified fraction.) m/s. The body's speeds at the left and right endpoints of the interval are m/s and m/s, respectively. (Type integers or simplified fractions.) m/s2 and m/s, respectively. 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 with in your choice O A. The body changes direction at t (Type an integer or a simplified fraction.) O B. The body does not change direction during the interval.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 98E
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9
A body moves on a coordinate line such that it has a position s 1 2 ton the interval 1 st 3, 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.)
The body's average velocity for the given time interval is
(Type an integer or a simplified fraction.)
m/s.
The body's speeds at the left and right endpoints of the interval are
m/s and
m/s, respectively.
(Type integers or simplified fractions.)
m/s2 and
m/s, respectively.
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 with in your choice
O A. The body changes direction at t
(Type an integer or a simplified fraction.)
O B. The body does not change direction during the interval.
Transcribed Image Text:9 A body moves on a coordinate line such that it has a position s 1 2 ton the interval 1 st 3, 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.) The body's average velocity for the given time interval is (Type an integer or a simplified fraction.) m/s. The body's speeds at the left and right endpoints of the interval are m/s and m/s, respectively. (Type integers or simplified fractions.) m/s2 and m/s, respectively. 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 with in your choice O A. The body changes direction at t (Type an integer or a simplified fraction.) O B. The body does not change direction during the interval.
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage