The equation r(t) = (2t + 7) i + (3r - 9) j+ (3t) 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. What is the velocity vector? v(t)=| i+ O j+ k What is the acceleration vector? a(t) = (O i+ (O j+ k Write the velocity vector at t= 1 as a product of the speed and direction. v(1) = (O [O i+ ) j+ () k]

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The equation r(t) = (2t+ 7) i+ (3t - 9) j+ (3t) 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.
What is the velocity vector?
v(t) = (| ) i+
j+
k
What is the acceleration vector?
a(t) = (O
j+
k
i+
Write the velocity vector at t= 1 as a product of the speed and direction.
v(1)= O [D i+ O i+(O k]
(Type exact answers, using radicals as needed.)
Transcribed Image Text:The equation r(t) = (2t+ 7) i+ (3t - 9) j+ (3t) 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. What is the velocity vector? v(t) = (| ) i+ j+ k What is the acceleration vector? a(t) = (O j+ k i+ Write the velocity vector at t= 1 as a product of the speed and direction. v(1)= O [D i+ O i+(O k] (Type exact answers, using radicals as needed.)
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