To determine an object's acceleration, we need to consider how acceleration is defined in physics. Acceleration is the rate at which an object's velocity changes over time. Mathematically, acceleration (a) is given by the change in velocity (Δv) divided by the change in time (Δt).
Let's break down each of the provided options:
1. [tex]\( a = \Delta t - \Delta v \)[/tex]
This formula suggests subtracting the change in velocity from the change in time, which does not correctly represent how acceleration is calculated.
2. [tex]\( a = \Delta v + \Delta t \)[/tex]
This formula suggests adding the change in velocity to the change in time. This also does not correctly represent how acceleration is determined.
3. [tex]\( a = \Delta v / \Delta t \)[/tex]
This formula suggests dividing the change in velocity by the change in time. This is the correct representation of how acceleration is calculated.
4. [tex]\( a = \Delta t / \Delta v \)[/tex]
This formula suggests dividing the change in time by the change in velocity, which is incorrect.
From these options, the correct formula to find an object's acceleration is:
[tex]\[ a = \frac{\Delta v}{\Delta t} \][/tex]
So, the answer corresponding to the formula used to find an object's acceleration is:
3. [tex]\( a = \Delta v / \Delta t \)[/tex]
