Final answer:
The equation t = (v - vo) / a gives us the time taken for an object to reach a final velocity v from an initial velocity vo under constant acceleration a.
Step-by-step explanation:
To solve for time (t) in the equation v = vo + at, we need to rearrange the terms. First, subtract the initial velocity (vo) from both sides of the equation:
v - vo = at
Then, divide both sides by the acceleration (a) to solve for t:
(v - vo) / a = t
So, the time, t, required for an object to change its velocity from an initial velocity (vo) to a final velocity (v) under constant acceleration (a) is given by:
t = (v - vo) / a