High School

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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