Question
Average Acceleration =
The correct answer is
$\frac{\text{change in velocity}}{\text{time taken}}$
Understanding Average Acceleration Formula
Average acceleration is a measure of how much an object's velocity changes over a specific period. It is defined as the ratio of the total change in velocity to the time interval during which that change occurred.
Calculating Average Acceleration
The formula for average acceleration ($a_{avg}$) is:
$a_{avg} = \frac{\Delta v}{\Delta t}$
Where:
- $\Delta v$ represents the change in velocity (final velocity minus initial velocity).
- $\Delta t$ represents the time taken for this change in velocity to occur.
Therefore, the correct representation among the options is the change in velocity divided by the time taken.
Analysis of Options
- Option 1: $\frac{\text{total displacement}}{\text{total time}}$ defines Average Velocity, not acceleration.
- Option 2: $\frac{\text{change in velocity}}{\text{time taken}}$ correctly defines Average Acceleration.
- Option 3: $\frac{\text{distance}}{\text{time}}$ defines Speed.
- Option 4: $\frac{\text{change in mass}}{\text{time}}$ relates to concepts like mass flow rate, not acceleration.
Based on the definition and formula, Option 2 is the correct answer.
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Important Questions from Acceleration
Acceleration is equal to the rate of change of _________.
At uniform speed the acceleration is
At uniform speed the acceleration is
- If the position of a particle X at time $t$ is given by the equation $x(t) = At^3$, where $A$ is a non-zero constant, determine the nature of its acceleration.
- Which of the following mathematical expressions accurately defines the average acceleration, $a$, of an object that changes its velocity from an initial velocity $v_i$ to a final velocity $v_f$ during a time interval $t$?
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