Constant Velocity and Position Functions

The video tutorial explains the concept of constant velocity, using a person walking at 3 miles per hour as an example. It covers plotting velocity over time, calculating distance traveled using the area under the velocity-time graph, and deriving the position function. The tutorial also discusses graphing the position function and analyzing its increase over time.

What is the constant speed at which the person is walking?

• 2 miles per hour

• 3 miles per hour

• 4 miles per hour

• 5 miles per hour

What type of graph represents a constant velocity?

• Curved line

• Vertical line

• Horizontal line

• Diagonal line

What is the velocity function v(t) for the person walking?

• v(t) = 2

• v(t) = 3

• v(t) = 4

• v(t) = 5

What does the constant velocity graph look like?

• Curved line

• Vertical line

• Horizontal line

• Diagonal line

If a person walks at 3 miles per hour for 2 hours, how far do they travel?

• 3 miles

• 5 miles

• 6 miles

• 9 miles

What does the area under the velocity-time graph represent?

• Distance

• Speed

• Time

• Acceleration

What is the area of the rectangle under the velocity-time graph for 2 hours?

• 7 units

• 6 units

• 5 units

• 4 units

What is the significance of the area under the velocity-time graph?

• It represents acceleration

• It represents speed

• It represents time

• It represents distance

What is the formula for the position function s(t) given a constant velocity of 3 miles per hour?

• s(t) = 3t + 1

• s(t) = 3t - 1

• s(t) = 3t

• s(t) = t + 3

What is the derivative of the position function s(t) = 3t?

• 3

• 4

• 2

• 1