!?The formula for finding the magnitude of a particle's acceleration is a = √(ax^2 + ay^2 + az^2), where ax, ay, and az are the components of acceleration in the x, y, and z directions respectively.
2.To find the distance traveled by a particle given its acceleration, you can use the formula d = ½at^2, where a is the acceleration and t is the time elapsed.
3.Acceleration is typically measured in meters per second squared (m/s^2), however it can also be measured in other units such as feet per second squared (ft/s^2) or kilometers per hour squared (km/h^2).
4.Yes, the magnitude of a particle's acceleration can be negative. This indicates that the particle is accelerating in the opposite direction of its initial velocity.
5.The distance of a particle's acceleration does not directly affect its velocity. However, the time over which the acceleration occurs can impact the particle's velocity, as a longer duration of acceleration will result in a greater change in velocity.