Question

match each term with a possible value.
position
27 km
distance
9.8 m s^{-2}
speed
25 mi h^{-1} toward the northwest
velocity
2 m from the park bench
acceleration
6 cm s^{-1}

Explanation:

• Position: Describes the location of an object relative to a reference point. "2 m from the park bench" gives a location relative to the park - bench (a reference point).
• Distance: Is a scalar quantity representing the total length of the path traveled. "27 km" is a measure of length (a scalar), which can represent the distance traveled.
• Speed: Is a scalar quantity representing the rate of change of distance. "6 cm s⁻¹" is a rate of change of distance (a scalar).
• Velocity: Is a vector quantity representing the rate of change of displacement (has both magnitude and direction). "25 mi h⁻¹ toward the northwest" has both magnitude (25 mi h⁻¹) and direction (toward the northwest).
• Acceleration: Is a vector quantity representing the rate of change of velocity. The standard value of acceleration due to gravity near the Earth's surface is approximately \(9.8\space m s^{-2}\).

Answer:

• position: 2 m from the park bench
• distance: 27 km
• speed: 6 cm s⁻¹
• velocity: 25 mi h⁻¹ toward the northwest
• acceleration: \(9.8\space m s^{-2}\)