Let vector r(t) = <5sin(t), 5cos(t), 2t^(3/2)> be the position function of an object. a. Find vector v(t) and vector a(t), the velocity and acceleration of the object. b. Find the speed of the object. c. Find the distance the object travels on the interval [0, 1]. Also find the average speed of the object on this interval.
Let vector r(t) = <5sin(t), 5cos(t), 2t^(3/2)> be the position function of an object. a. Find vector v(t) and vector a(t), the velocity and acceleration of the object. b. Find the speed of the object. c. Find the distance the object travels on the interval [0, 1]. Also find the average speed of the object on this interval.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Let
a. Find vector v(t) and vector a(t), the velocity and acceleration of the object.
b. Find the speed of the object.
c. Find the distance the object travels on the interval [0, 1]. Also find the average speed of the
object on this interval.
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