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30 March, 12:15

A physics student tests the theory of projectile motion by leaping off a 225 meter tall building. She runs off the building horizontally at 12.5 m/s. How far away from the base of the building should she place the safety net?

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  1. 30 March, 14:59
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    In this item, we are given with the x-component of the velocity. The y-component is equal to 0 m/s. The time it takes for it to reach the volume can be related through the equation,

    d = V₀t + 0.5gt²

    Substituting the known values,

    225 = (0 m/s) (t) + (0.5) (9.8) (t²)

    Simplifying,

    t = 6.776 s

    To determine the distance of the student from the edge of the building, we multiply the x-component by the calculated time.

    range = (12.5 m/s) (6.776 s)

    range = 84.7 m

    Answer: 84.7 m
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