
Understanding Integrals in Motion

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Thomas White
FREE Resource
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of the lesson introduced by Mr. Bean?
Using derivatives to find acceleration
Solving algebraic equations
Graphing linear functions
Using integrals to understand position, velocity, and acceleration
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the derivative of a position function represent?
Velocity
Displacement
Acceleration
Speed
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find velocity from acceleration using integrals?
By taking the integral
By multiplying by time
By subtracting the initial position
By taking the derivative
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example problem, what is the initial velocity of the particle?
24 cm/s
18 cm/s
12 cm/s
8 cm/s
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the distance from Mr. Brust's house calculated after 10 minutes?
By taking the integral of velocity from 0 to 10 minutes
By multiplying velocity by time
By subtracting the initial position
By adding the initial velocity
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the difference between displacement and total distance?
Displacement is the total path traveled, total distance is the straight line
Displacement is the straight line distance, total distance is the total path traveled
Both are the same
Displacement is always greater than total distance
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the position of a particle after 3 seconds?
By subtracting the initial velocity
By multiplying velocity by time
By adding the initial position to the integral of velocity from 0 to 3 seconds
By taking the derivative of velocity
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the total distance traveled by a particle during the first 4 seconds?
By taking the absolute value of the integral of velocity
By subtracting the initial position
By multiplying velocity by time
By taking the integral of velocity
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