15 Questions
What can you do when provided with the equation for position as a function of time?
You can sketch a position graph.
What can you do when provided with a velocity vs. time graph?
You can write an equation for displacement.
What does the area under the line represent in a velocity vs. time graph?
The area under the line represents displacement for the highlighted time period.
What is the sign of the area under the line if the function is above the x-axis?
The area is positive.
What is the sign of the area under the line if the function is below the x-axis?
The area is negative.
What does 'd' represent in the equation derived using the position vs. time graph?
'd' represents position.
What does 'Δd' represent in the equation derived using the velocity vs. time graph?
'Δd' represents displacement.
What does the area under the line in a velocity vs. time graph tell you?
The area under the line tells you about displacement, not position.
What is the difference between velocity and speed?
Velocity is a vector quantity that measures how much an object's position changes in a specified amount of time, while speed is a scalar quantity that measures how much distance an object travels in a specified amount of time.
How can velocity be determined from a position vs. time graph?
The velocity can be determined from a position vs. time graph by finding the slope of the line.
Why is velocity a vector quantity?
Velocity is a vector quantity because it is defined by displacement, which has both magnitude and direction.
Why is speed a scalar quantity?
Speed is a scalar quantity because it is defined as the distance traveled, which only has magnitude and no direction.
How can the equation for position as a function of time be written for uniform motion?
The equation for position as a function of time for uniform motion can be written as y(x)=mx+b, where m is the slope and b is the y-intercept.
Can speed be greater than velocity?
Yes, speed can be greater than velocity when averaged over a trip, especially if there are changes in direction.
When is it more useful to determine speed rather than velocity?
It is more useful to determine speed when the direction of motion is not important or when there are changes in direction.
Test your knowledge on the differences between velocity and speed in this quiz! Explore the concepts of vector and scalar quantities and enhance your understanding of motion measurement.
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