What is the relationship between the speed of the particle and the distance it has traveled?

Understanding Inverse Proportionality in Motion

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

Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Speed is directly proportional to the distance.
Speed is inversely proportional to the square of the distance.
Speed is inversely proportional to the distance.
Speed is directly proportional to the square of the distance.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does 's' represent in the context of this problem?
Speed of the particle
Time taken by the particle
Distance traveled by the particle
Acceleration of the particle
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is speed defined in terms of distance and time?
Speed is the sum of distance and time.
Speed is the rate of change of distance with respect to time.
Speed is the difference between distance and time.
Speed is the product of distance and time.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which equation correctly represents the inverse proportionality of speed to the square of the distance?
Speed = k * s^2
Speed = k / s^2
Speed = k / s
Speed = k * s
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the proportionality constant 'k' represent in the equation?
It is the distance traveled by the particle.
It is a constant that depends on the initial conditions.
It is a variable that changes with time.
It is the speed of the particle.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a correct interpretation of the derived equation?
Speed decreases as the square of the distance increases.
Speed is directly proportional to the square of the distance.
Speed remains constant regardless of the distance.
Speed increases as the square of the distance increases.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of the section 'Analyzing the equation'?
To discuss the history of the equation.
To explain the concept of direct proportionality.
To compare the derived equation with given choices.
To derive the equation from scratch.
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