
Vector Valued Functions and Integration
Interactive Video
•
Mathematics, Physics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main goal of the problem discussed in the video?
To calculate the acceleration vector function
To determine the position vector function R(T)
To solve a differential equation
To find the velocity vector function V(T)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the velocity vector function V(T) and the position vector function R(T)?
V(T) is unrelated to R(T)
V(T) is the derivative of R(T)
V(T) is the integral of R(T)
V(T) is the square of R(T)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which mathematical operation is used to find the position vector function from the velocity vector function?
Division
Integration
Multiplication
Differentiation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of the X component of the velocity vector function?
6t^3 + C1
t^3 + C1
2t^3 + C1
3t^3 + C1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of sin(T) with respect to T?
cos(T) + C2
-cos(T) + C2
-sin(T) + C2
sin(T) + C2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used to integrate the Z component of the velocity vector function?
U = T
U = 2T
U = e^T
U = T^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the constant C1 if X(0) = 1?
0
2
3
1
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