The equation r(t) = (2t + 5) i + (t² − 1) j + (t) k is the position of a particle in space at time t. Find - the particle's velocity and acceleration vectors. Then write the particle's velocity at t = 1 as a product of its speed and direction.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 36E
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What is the velocity​ vector?

The equation r(t) = (2t + 5) i + (t² − 1) j + (t) k is the position of a particle in space at time t. Find
-
the particle's velocity and acceleration vectors. Then write the particle's velocity at t = 1 as a product of its
speed and direction.
Transcribed Image Text:The equation r(t) = (2t + 5) i + (t² − 1) j + (t) k is the position of a particle in space at time t. Find - the particle's velocity and acceleration vectors. Then write the particle's velocity at t = 1 as a product of its speed and direction.
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