16 4 A body moves on a coordinate line such that it has a position s = f(t) = +² The body's displacement for the given time interval is m. (Type an integer or a simplified fraction.) on the interval 1 ≤t≤ 4, t 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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A body moves on a coordinate line such that it has a position s= f(t) =
16
+²
4
on the interval 1 ≤t≤ 4,
t
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 m.
(Type an integer or a simplified fraction.)
Transcribed Image Text:A body moves on a coordinate line such that it has a position s= f(t) = 16 +² 4 on the interval 1 ≤t≤ 4, t 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 m. (Type an integer or a simplified fraction.)
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