How do you find the magnitude of acceleration of a particle?

To find the magnitude of acceleration of a particle, you need to know the change in velocity and the time taken for that change to occur. The magnitude of acceleration can be calculated using the following formula:

Acceleration (magnitude) = Change in velocity / Time taken

The change in velocity is calculated by subtracting the initial velocity from the final velocity. If the initial velocity is represented as v₀ and the final velocity as v, the change in velocity (Δv) is given by:

Δv = v - v₀

Once you have the change in velocity and the time taken (represented as Δt), you can calculate the magnitude of acceleration using the formula mentioned earlier:

Acceleration (magnitude) = Δv / Δt

It is important to ensure that the units for velocity and time are consistent. For example, if the velocities are in meters per second (m/s) and the time is in seconds (s), the resulting acceleration will be in meters per second squared (m/s²), which is the standard unit for acceleration.