Beginning at rest, you accelerate at a rate of 2.5 m/s^2 for 12 seconds. What is your final velocity?

To find the final velocity, we can use the kinematic equation:

Vf = Vi + at

where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, and t is the time.

In this case, you are starting from rest, so the initial velocity, Vi, is 0 m/s. The acceleration, a, is given as 2.5 m/s^2, and the time, t, is 12 seconds.

Plugging in the values into the equation:

Vf = 0 + (2.5 m/s^2)(12 s)

Vf = 0 + (30 m/s)

Vf = 30 m/s

So, your final velocity is 30 m/s.