
Understanding Calculus: Position, Velocity, and Acceleration

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

Emma Peterson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the total distance traveled by a particle if it moves 4 meters to the right and then 7 meters to the left?
11 meters
7 meters
3 meters
4 meters
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is average velocity calculated?
Total distance divided by total time
Net displacement divided by total time
Final position minus initial position
Change in speed over time
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between instantaneous velocity and the position function?
Instantaneous velocity is the average rate of change of the position function
Instantaneous velocity is the second derivative of the position function
Instantaneous velocity is the first derivative of the position function
Instantaneous velocity is the integral of the position function
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When is a particle considered to be speeding up?
When acceleration is zero
When velocity and acceleration have opposite signs
When velocity is zero
When velocity and acceleration have the same sign
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example problem, what is the instantaneous velocity at t = 2?
-3
3
0
9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the acceleration of a particle when its velocity function is given by 3T^2 - 12T + 9?
6T - 12
3T - 2
6T - 2
3T - 12
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When does a particle speed up according to its velocity and acceleration?
When velocity is positive and acceleration is negative
When both velocity and acceleration are positive
When both velocity and acceleration are negative
When velocity is negative and acceleration is positive
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