Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A particle in space has acceleration
a
(
t
)
=
⟨
6
,
−
4
,
0
⟩
\mathbf a(t)=\langle 6,-4,0\rangle
a
(
t
)
=
⟨
6
,
−
4
,
0
⟩
. Given the initial velocity
v
(
0
)
=
⟨
1
,
2
,
3
⟩
\mathbf v(0)=\langle 1,2,3\rangle
v
(
0
)
=
⟨
1
,
2
,
3
⟩
and initial position
r
(
0
)
=
⟨
0
,
5
,
−
1
⟩
\mathbf r(0)=\langle 0,5,-1\rangle
r
(
0
)
=
⟨
0
,
5
,
−
1
⟩
, determine the particle’s position vector
r
(
t
)
\mathbf r(t)
r
(
t
)
.
Browse the problem library