Question

The final velocity, v, of an object under constant acceleration can be found using the formula uppercase v squared = v squared 2 a s, where v is the initial velocity (in meters per second), a is acceleration (in meters per second), and s is the distance (in meters). what is the formula solved for a?

Answer 1

a = (vf^2-vi^2)/2s

Step-by-step explanation:

vf^2=vi^2+2as, where vi is the initial velocity and vf is the final velocity (in m/sec), and s is distance, in meters. [Note that this expression assumes constant acceleration].

To solve for a, rearrange:

vf^2=vi^2+2as

vf^2-vi^2 = 2as

2as = vf^2-vi^2

a = (vf^2-vi^2)/2s