Understanding Speed, Velocity, and Acceleration

What is the main difference between speed and velocity?

• Speed is a scalar quantity, while velocity is a vector quantity.

• Speed includes direction, while velocity does not.

• Speed is measured in meters per second, while velocity is not.

• Speed is the rate of change of displacement, while velocity is the rate of change of position.

Which of the following is true about acceleration?

• Acceleration is a vector quantity that describes the rate of change of velocity.

• Acceleration is always positive, indicating an increase in speed.

• Acceleration is the rate of change of speed, not velocity.

• Acceleration is the same as velocity.

How can instantaneous acceleration be determined?

• By taking the derivative of the velocity function with respect to time.

• By integrating the velocity function over time.

• By calculating the area under a velocity-time graph.

• By measuring the change in displacement over time.

What does the gradient of a velocity-time graph represent?

• Acceleration

• Velocity

• Displacement

• Speed

What does the area under an acceleration-time graph indicate?

• The change in velocity over a given time interval.

• The total displacement of the object.

• The average speed of the object.

• The instantaneous velocity of the object.