Motion Problems, Parametric, Vector-Valued Functions
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
Card 1
of 15
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
Identify the position vector
r
(
t
)
\mathbf{r}(t)
r
(
t
)
for
x
(
t
)
=
2
t
x(t) = 2t
x
(
t
)
=
2
t
and
y
(
t
)
=
3
t
2
y(t) = 3t^2
y
(
t
)
=
3
t
2
.
QUESTION
Find the unit tangent vector at
t
=
1
t=1
t
=
1
for
r
(
t
)
=
⟨
t
2
,
t
3
⟩
\mathbf{r}(t) = \langle t^2, t^3 \rangle
r
(
t
)
=
⟨
t
2
,
t
3
⟩
.
QUESTION
What is the horizontal component of the velocity vector for
x
(
t
)
=
5
t
x(t)=5t
x
(
t
)
=
5
t
?
Tap to flip before you grade
ANSWER
v
x
(
t
)
=
5
v_x(t) = 5
v
x
(
t
)
=
5
. Derivative of
5
t
5t
5
t
is constant
5
5
5
.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card