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By using the equations for parabolic motion, we proceed to present the answers for the paragraph seen in the picture: a) t ≈ 0.553 s, b) s = 2.212 m, c) s = 11.060 m.

How to analyze a system on parabolic motion

A system is on parabolic motion if such system can be represented as a particle, that is, a system whose geometry is negligible, and its motion is a combination of horizontal movement at constant velocity and vertical uniformly accelerated movement due to gravity and all viscous and rotational effects are negligible.

The time required for the droplet to reach the ground is:

1.5 m = (1 / 2) · (9.807 m / s²) · t²

t = √[2 · (1.5 m) / (9.807 m / s²)]

t ≈ 0.553 s

And the horizontal distance traveled by the droplet is:

s = (4 m / s) · (0.553 s)

s = 2.212 m

Now, we apply the same procedure for the case of sneezing person:

1.5 m = (1 / 2) · (9.807 m / s²) · t²

t = √[2 · (1.5 m) / (9.807 m / s²)]

t ≈ 0.553 s

s = (20 m / s) · (0.553 s)

s = 11.060 m

To learn more on parabolic motion: https://brainly.com/question/16992646

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