Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Physics
Physics
Problem
A particle moves in the plane with position vector
r
(
t
)
=
⟨
x
(
t
)
,
y
(
t
)
⟩
\mathbf r(t)=\langle x(t),y(t)\rangle
r
(
t
)
=
⟨
x
(
t
)
,
y
(
t
)⟩
. Which of the following expressions represents its velocity vector
v
(
t
)
\mathbf v(t)
v
(
t
)
? a)
⟨
x
′
′
(
t
)
,
y
′
′
(
t
)
⟩
\langle x''(t),y''(t)\rangle
⟨
x
′′
(
t
)
,
y
′′
(
t
)⟩
b)
⟨
x
(
t
)
,
y
(
t
)
⟩
\langle x(t),y(t)\rangle
⟨
x
(
t
)
,
y
(
t
)⟩
c)
⟨
x
′
(
t
)
,
y
′
(
t
)
⟩
\langle x'(t),y'(t)\rangle
⟨
x
′
(
t
)
,
y
′
(
t
)⟩
d)
⟨
∫
0
t
x
′
(
u
)
d
u
,
∫
0
t
y
′
(
u
)
d
u
⟩
\Bigl\langle\displaystyle\int_{0}^{t}x'(u)\,du\,,\;\displaystyle\int_{0}^{t}y'(u)\,du\Bigr\rangle
⟨
∫
0
t
x
′
(
u
)
d
u
,
∫
0
t
y
′
(
u
)
d
u
⟩
Browse the problem library