High School

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During your European vacation, you are hit in the face by seagull poop while at the beach on the Gold Coast of Spain. You estimate the impact velocity at [tex]98.5 \, \text{m/s}[/tex]. Calculate how high the seagull was flying when it pooped. Use [tex]g = 10 \, \text{m/s}^2[/tex] for the acceleration due to gravity.

Show your work.

Answer :

A large glob of seagull poop hits you in the face. You are able to estimate the impact velocity at 98.5 m/s. The vertical component is something less than 98.5 m/s, and that the attack was launched from an altitude less than 494 m.

What do you mean by an acceleration ?

The term acceleration is defined as any process where the velocity changes. So, velocity is a speed and a direction, there are only two ways for you to accelerate are change your speed or change your direction or change both.

98.5 m/s = √ [ (horizontal component)² + (vertical component)² ].

The vertical component = (9.8 m/s²) x (drop time).

Therefore, we're looking for the altitude of launch,

we can use the formula for 'free-fall distance' as a function of acceleration and time as follows:

Height = (1/2) (acceleration) (time²) .

Time = (98.5 m/s) / (9.81 m/s²)

= 10.04 seconds

Height = (1/2) (9.81) (10.04)²

= (4.905 m/s²) x (100.8 sec²)

= 494.43 meters.

Thus, the vertical component is something less than 98.5 m/s, and that the attack was launched from an altitude less than 494 m.

To learn more about the acceleration, follow the link;

https://brainly.com/question/12550364

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