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Author Question: Suppose the position vector r(t) of an object moving in 3-space and the corresponding velocity and ... (Read 31 times)

imowrer

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on: May 27, 2021

Question 1

Solve the initial-value problem

◦ r(t)  =  r0 cos(kt)  +   sin(kt)
◦ r(t)  =  v0 cos(kt)  -   sin(kt)
◦ r(t)  =  r0 cos(kt)  -   sin(kt)
◦ r(t)  =  r0 sin(kt)  +   cos(kt)
◦ r(t)  =  v0 cos(kt)  +   sin(kt)

Question 2

Suppose the position vector r(t)  of an object moving in 3-space and the corresponding velocity and acceleration vectors  v(t)  and  a(t)  satisfy
(i) a(t)  is parallel to  r(t)  for all  t,  and
(ii) r(0) × v(0)  =  c  (a nonzero constant vector).
Find  r(t) × v(t)  and c ∙ r(t)  for  all  t.
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Marked as best answer by imowrer on May 27, 2021

asdfasdf

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Reply #1 on: May 27, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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imowrer

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Reply 2 on: May 27, 2021
Thanks for the timely response, appreciate it

tkempin

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Reply 3 on: Yesterday
Great answer, keep it coming :)

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