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7 September, 09:25

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

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  1. 7 September, 09:42
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    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
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