The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity and acceleration vectors. Then find the particle's speed and direction of motion at t=1. Write the particle's velocity at that time as the product of its speed and direction. r(t) = (2 In (t+1))i+t²j+k The velocity vector is v(t)=i+i+k (Type exact answers, using radicals as needed.)
The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity and acceleration vectors. Then find the particle's speed and direction of motion at t=1. Write the particle's velocity at that time as the product of its speed and direction. r(t) = (2 In (t+1))i+t²j+k The velocity vector is v(t)=i+i+k (Type exact answers, using radicals as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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