Find Position, Velocity and Acceleration Vectors Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t)= (5t, 6 sin(t), cos(3t)) (0) (-2,-2,5) 7(0) = (0, -4,0) r(t) = ( Question Help: Video Submit Question
Find Position, Velocity and Acceleration Vectors Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t)= (5t, 6 sin(t), cos(3t)) (0) (-2,-2,5) 7(0) = (0, -4,0) r(t) = ( Question Help: Video Submit Question
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Find Position, Velocity and Acceleration Vectors**
Find the position vector for a particle with acceleration, initial velocity, and initial position given below.
\[
\vec{a}(t) = \langle 5t, 6 \sin(t), \cos(3t) \rangle
\]
\[
\vec{v}(0) = \langle -2, -2, 5 \rangle
\]
\[
\vec{r}(0) = \langle 0, -4, 0 \rangle
\]
\[
\vec{r}(t) = \langle \quad , \quad , \quad \rangle
\]
**Question Help:** [Video]
- **Submit Question** button is provided for answering the question.
This problem requires understanding of integrating vectors to find position from acceleration, given initial velocity and position conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c62a616-6a2f-456f-ac81-c6090d5022b3%2F44f57c69-4753-4ea4-9391-0bb3032ba7de%2Flmbgeguz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Find Position, Velocity and Acceleration Vectors**
Find the position vector for a particle with acceleration, initial velocity, and initial position given below.
\[
\vec{a}(t) = \langle 5t, 6 \sin(t), \cos(3t) \rangle
\]
\[
\vec{v}(0) = \langle -2, -2, 5 \rangle
\]
\[
\vec{r}(0) = \langle 0, -4, 0 \rangle
\]
\[
\vec{r}(t) = \langle \quad , \quad , \quad \rangle
\]
**Question Help:** [Video]
- **Submit Question** button is provided for answering the question.
This problem requires understanding of integrating vectors to find position from acceleration, given initial velocity and position conditions.
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