Final answer:
The acceleration of an object at rest can be calculated using a kinematic equation if final velocity and time are known; otherwise, additional information such as force and mass is required. Without time or distance, it's not possible to determine acceleration with only final velocity.
Step-by-step explanation:
To find the acceleration of an object that is initially at rest without knowing the time or distance, you can use a kinematic equation if you have other known values such as the object's final velocity. The equation can be written as:
a = (vf - vi) / t
Here, a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time. For an object starting at rest, vi will be equal to zero, simplifying the equation to:
a = vf / t
This assumes that you have either the time or distance and another value to find the acceleration. However, without time or distance, you would typically need additional information such as force applied and mass of the object to find acceleration using Newton's second law:
a = F / m
If you only have the final velocity and no other information, it is not possible to find acceleration without knowing either the time taken to reach that velocity or the distance covered.