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.
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