In which of the following units is acceleration expressed?
A. Kilograms
B. Meters per second squared
C. Foot-pounds
D. Newtons
Answer (2)
The correct unit for acceleration is meters per second squared (m/sĀ²), as it represents the change in velocity over time. Among the given options, this is the only one that accurately reflects the definition of acceleration. Therefore, the chosen option is B.
;
Acceleration is defined as the rate of change of velocity with respect to time.
Velocity is measured in distance per time (e.g., meters per second).
Acceleration is therefore measured in distance per time squared (e.g., meters per second squared).
The correct unit for acceleration from the given options is meters per second squared. B ā
Explanation
Understanding the Problem The question asks us to identify the correct unit for acceleration from a list of options. Acceleration is the rate at which an object's velocity changes over time.
Recalling the Definition of Acceleration Let's recall the definition of acceleration. Acceleration is the rate of change of velocity with respect to time. Velocity is measured in units of distance per time (e.g., meters per second, miles per hour). Therefore, acceleration is measured in units of (distance per time) per time, which simplifies to distance per time squared. Common units for acceleration include meters per second squared ( m / s 2 ) and feet per second squared ( f t / s 2 ).
Analyzing the Options Now, let's examine the given options:
A. Kilograms: Kilograms are a unit of mass.
B. Meters per second squared: This matches our derived unit for acceleration ( m / s 2 ).
C. Foot-pounds: Foot-pounds are a unit of energy or work.
D. Newtons: Newtons are a unit of force.
Identifying the Correct Unit Based on our analysis, the correct unit for acceleration is meters per second squared.
Examples
Understanding acceleration is crucial in many real-world scenarios. For example, when designing cars, engineers need to calculate the acceleration and deceleration rates to ensure safety. Similarly, in sports, understanding acceleration helps athletes improve their performance, such as sprinting or throwing a ball. The units of acceleration, typically meters per second squared ( m / s 2 ), quantify how quickly the velocity changes over time, providing a clear measure for these applications.
