Final answer:
The corrected velocity function indicates that the object has a velocity of 1 m/s at t = 0, so the statement that the object is at rest when t equals zero is false.
Step-by-step explanation:
The given function v(t) = (4.0 m/s²)² +1 suggests a mathematical error since the units of acceleration are squared and added to a unitless number, which is not physically meaningful. However, if we correct the expression to v(t) = (4.0 m/s²)t +1, where t is in seconds, we can determine if the object is at rest when t is equal to zero. By substituting t = 0 into the corrected velocity function, we get v(0) = (4.0 m/s²)(0) +1 = 1 m/s. This indicates that the object is not at rest at t = 0 since it has a velocity of 1 m/s. Thus, the correct statement regarding the object being at rest at t = 0 is false.