What is the velocity of the particle at a given time from graph

The video tutorial explains the concept of velocity and how to calculate the slope using a graph. It demonstrates the use of the slope formula with specific points and addresses common mistakes in arithmetic. The tutorial also covers the concept of acceleration, emphasizing its constancy when the slope is unchanged between two points.

Why is it important to show the slope formula when calculating velocity?

• To avoid using a calculator

• To make the calculation faster

• To verify the process even if there are arithmetic errors

• To ensure the graph is drawn correctly

What is the slope formula used to calculate velocity between two points?

• Y1 - Y2 over X1 - X2

• X1 - X2 over Y1 - Y2

• X2 - X1 over Y2 - Y1

• Y2 - Y1 over X2 - X1

What was the calculated velocity between the points (4, -6) and (6, 0)?

• 5 inches per second

• 4 inches per second

• 3 inches per second

• 2 inches per second

How is acceleration defined in terms of velocity?

• The product of velocities

• The sum of velocities

• The change in velocity

• The average of velocities

What is the acceleration if the slope of the velocity graph is constant?

• Positive

• Negative

• Zero

• Undefined