
Understanding Vector-Valued Functions
Interactive Video
•
Mathematics, Physics
•
11th Grade - University
•
Practice Problem
•
Hard
Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the first derivative of a position vector-valued function represent?
Speed
Displacement
Velocity
Acceleration
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which components are involved in a plane curve?
y and z
x, y, and z
x and y
x and z
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the speed from a velocity vector-valued function?
By squaring the components
By taking the derivative
By integrating
By finding the magnitude
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the acceleration vector when t=1 for the given function in Example 1?
1, 0
0, 1
-1, 0
0, -1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Example 1, what is the approximate speed when t=1?
1.0
1.4
2.4
2.0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied to find the derivative of cosine pi t in Example 2?
Quotient rule
Power rule
Chain rule
Product rule
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-component of the velocity vector when t=2 in Example 2?
0
pi
2
-pi
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