Question

The formula gives the maximum height y of a projectile launched straight up, given acceleration a and initial velocity v.

(choices in photo)

Answer 1

The first option is the correct answer. 

Answer 2

We have the following expression:
y = (v ^ 2) / (2 * a)
We must clear v from the equation.
For this, we follow the following steps:
Step 1)
Pass 2 * a to multiply:
2 * a * y = v ^ 2
Step 2)
Square root on both sides:
root (2 * a * y) = v
Step 3)
Rewrite expression:
v = root (2 * a * y)
Answer:
v = root (2 * a * y)
(option 1)