Question

5.2.1 study: describing motion
speed
the rate of motion over a distance
acceleration
the rate of change in position
velocity
the rate of change in velocity
distance
the total length of the path of travel
displacement
the overall change in position between start and finish

Explanation:

• Speed is defined as the rate of motion over a distance. It is calculated as \(speed=\frac{distance}{time}\).
• Velocity is the rate of change in position. It is a vector quantity (has both magnitude and direction), calculated as \(velocity = \frac{displacement}{time}\).
• Acceleration is the rate of change in velocity. The formula is \(acceleration=\frac{\Delta v}{\Delta t}\) (where \(\Delta v\) is the change in velocity and \(\Delta t\) is the change in time).
• Distance is the total length of the path of travel. It is a scalar quantity (only has magnitude).
• Displacement is the overall change in position between start and finish. It is a vector quantity.

Answer:

• The rate of motion over a distance: Speed
• The rate of change in position: Velocity
• The rate of change in velocity: Acceleration
• The total length of the path of travel: Distance
• The overall change in position between start and finish: Displacement