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Texts: 11.[-/0.28 Points] DETAILS SCALCET913.4.AE.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Example Video Example A moving particle starts at an initial position r0 = 1,0,0 with initial velocity v0 = i - j + k. Its acceleration is at = 8ti + 8tj + k. Find its velocity and position at time t. Solution Since at = vt, we have 8ti + 8tj + kat To determine the value of the constant vector C, we use the fact that v0 = i - j + k. The preceding equation gives v0 = C, so C = i - j + k and vt = 4t^2i + 4t^2j + tk + i - j + k + t + 1k Since vt = r', we have vtdt t^2 + 1i + 4t^2 - 1j + t + 1k dt Putting t = 0, we find that D = r0 = i, so the position at time t is given by r(t) Need Help? RoadI Submit Answer

Name: texts 11 028 points details scalcet9134ae003 my notes ask your teacher practice another example video example a moving particle starts at an initial position r0 100 with initial velocity v0 09672
Uploaded: 2023-09-21T07:37:08-08:00
Duration: 4 min 2 s
Channel: Imogen Dell
Description: texts 11 028 points details scalcet9134ae003 my notes ask your teacher practice another example video example a moving particle starts at an initial position r0 100 with initial velocity v0 09672

          Texts: 11.[-/0.28 Points]
DETAILS
SCALCET913.4.AE.003.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Example
Video Example
A moving particle starts at an initial position r0 = 1,0,0 with initial velocity v0 = i - j + k. Its acceleration is at = 8ti + 8tj + k. Find its velocity and position at time t.
Solution
Since at = vt, we have
8ti + 8tj + kat
To determine the value of the constant vector C, we use the fact that v0 = i - j + k. The preceding equation gives v0 = C, so C = i - j + k and
vt = 4t^2i + 4t^2j + tk + i - j + k
+ t + 1k
Since vt = r', we have
vtdt
t^2 + 1i + 4t^2 - 1j + t + 1k dt
Putting t = 0, we find that D = r0 = i, so the position at time t is given by
r(t)
Need Help?
RoadI
Submit Answer

texts 11 028 points details scalcet9134ae003 my notes ask your teacher practice another example video example a moving particle starts at an initial position r0 100 with initial velocity v0 09672

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