Average and Instantaneous Velocity

Front

What is average velocity?

Back

Average velocity is defined as the total displacement divided by the total time taken. It is a vector quantity.

Front

How do you calculate average speed?

Back

Average speed is calculated by dividing the total distance traveled by the total time taken. It is a scalar quantity.

Front

What is instantaneous velocity?

Back

Instantaneous velocity is the velocity of an object at a specific moment in time. It can be found by taking the derivative of the position function with respect to time.

Front

What is the formula for average velocity over an interval?

Back

The formula for average velocity over an interval [a, b] is (f(b) - f(a)) / (b - a), where f(t) is the position function.

Front

If a bicyclist covers 60 miles in 4 hours, what is their average speed?

Back

15 mph.

Front

What is the difference between average speed and average velocity?

Back

Average speed is a scalar quantity that does not take direction into account, while average velocity is a vector quantity that includes direction.

Front

How do you find the average velocity from a displacement function?

Back

To find the average velocity from a displacement function, evaluate the function at the endpoints of the interval and apply the average velocity formula.

Front

What is the significance of the slope of a position-time graph?

Back

The slope of a position-time graph represents the velocity of the object. A steeper slope indicates a higher velocity.

Front

How do you determine which object has a higher average speed when given distances and times?

Back

Calculate the average speed for each object using the formula: speed = distance/time, and compare the results.

Front

What is the average velocity of a particle if its displacement is 12 meters over 3 seconds?

Back

The average velocity is 4 m/s.