AP Calculus BC Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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Two particles move for
0
≤
t
≤
1
0\le t\le1
0
≤
t
≤
1
:
r
1
=
⟨
t
,
t
⟩
\mathbf r_1=\langle t,t\rangle
r
1
=
⟨
t
,
t
⟩
,
r
2
=
⟨
t
,
2
t
⟩
\mathbf r_2=\langle t,2t\rangle
r
2
=
⟨
t
,
2
t
⟩
. Which travels farther?
A
Particle 1, because its velocity is larger for all
t
t
t
.
B
Particle 2, because its speed is larger for all
t
t
t
.
C
They travel the same distance, because both have constant speed.
D
Particle 1, because its
x
x
x
-component of velocity is larger.
E
Cannot be determined without finding acceleration.
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