Understanding Average and Instantaneous Velocity

The video tutorial explains how to calculate the average and instantaneous velocity of a ball thrown by a baby alien on a distant planet. It introduces the problem, provides a graphical explanation of the concepts, and demonstrates how to calculate average velocity using a calculator. The tutorial further explores calculations for different time intervals and estimates the instantaneous velocity as the intervals approach zero.

What is the initial velocity of the ball thrown by the baby alien?

• 45 ft per second

• 31 ft per second

• 15 ft per second

• 60 ft per second

How is the average velocity graphically represented?

• As a tangent line

• As a secant line

• As a horizontal line

• As a vertical line

What is the formula for average velocity over a time interval?

• Change in Y * Change in T

• Change in T / Change in Y

• Y sub 2 - Y sub 1 / X sub 2 - X sub 1

• Y sub 1 - Y sub 2 / X sub 1 - X sub 2

What is the first point used in calculating average velocities?

• (1, 16)

• (0, 0)

• (1, 31)

• (2, 31)

Which function notation is used to calculate average velocity?

• Y of T

• X of T

• Z of T

• W of T

What is the average velocity over the first time interval of 0.01 seconds?

• 0.85 ft per second

• 0.95 ft per second

• 1.15 ft per second

• 1.05 ft per second

How do you enter the function into the calculator for average velocity calculation?

• Using Y equals and entering 31x - 15x^2

• Using X equals and entering 31x - 15x^2

• Using Z equals and entering 31x - 15x^2

• Using W equals and entering 31x - 15x^2

What is the average velocity when the time interval is 0.002 seconds?

• 0.99 ft per second

• 0.92 ft per second

• 0.85 ft per second

• 0.97 ft per second

As the time interval approaches zero, what does the average velocity approach?

• Constant velocity

• Instantaneous velocity

• Infinity

• Zero

What should you do if average velocities do not come out to nice values in homework?

• Do not round

• Round to four decimal places

• Round to three decimal places

• Round to two decimal places