Arc Length of Smooth, Planar Curve
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
Card 1
of 27
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
Find the total distance traveled by a particle with velocity
v
(
t
)
=
3
t
v(t) = 3t
v
(
t
)
=
3
t
from
t
=
0
t = 0
t
=
0
to
t
=
2
t = 2
t
=
2
.
QUESTION
What is the curvature of the parametric curve
x
(
t
)
=
t
,
y
(
t
)
=
t
2
x(t) = t, y(t) = t^2
x
(
t
)
=
t
,
y
(
t
)
=
t
2
?
QUESTION
What is the relationship between curvature and radius of curvature?
Tap to flip before you grade
ANSWER
R
=
1
κ
R = \frac{1}{\kappa}
R
=
κ
1
. Curvature and radius of curvature are reciprocals of each other.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card