A Imagine you derive the following expression by analyzing the physics of a particular system: v2 + 2az. The problem requires solving for z, and the known values for the system are a 2.55 meter/second, to = 21.8 meter/second, and u = 0 meter/second. Perform the next step in the analysis

z = 93.2 m

Explanation:

We can appreciate that this expression is equivalent to the linear motion equation with constant acceleration

v² = v₀² + 2 a d

If we make a term-to-term comparison with the expression obtained, they are equivalent

u² = v² + 2 a z

From here we can clear the position

2 a z = u² - v²

z = (u² - v²) / 2 a

Let's calculate

For the speed to reduce the acceleration must be negative

z = (0 - 21.8²) / 2 ( - 2.55)

z = 93.2 m