Skip to content
free
K
1
2
practice
Home
Math
English
Science
Social Studies
Contact
Language
English
Español
Sign In
/
Math
/
Calculus II
/
Distance Traveled by Parametric Motion
Worksheet
Grade Level
Calculus II
CAL2.99 Distance Traveled by Parametric Motion
0%
Skill Level
🔴 Hard
00:00
Progress to Next Level
25% to Medium
Easy
Medium
Hard
Mastery
100%
A particle moves in the plane with x(t)=t
5
-5t and y(t)=t
3
for -1 ≤ t ≤ 1. Which integral gives the total distance traveled?
A
∫_{-1}
1
sqrt((t
5
-5t)
2
+ (t
3
)
2
) dt
B
∫_{-1}
1
sqrt((5t
4
-5)
2
+ (3t
2
)
2
) dt
C
∫_{-1}
1
sqrt((5t
4
-5 + 3t
2
)
2
) dt
D
∫_{-1}
1
sqrt((5t
4
-5)
2
+ (3t
2
)
2
) dx
Submit Answer
