Why is it important we uncover and study fossils?
2 answers:
[ Answer ]
[ Explanation ]
When studying fossils, we can get a better image of how the Earth has changed through time. Fossils are no longer living. They are the remains of once living things, so by studying them, we can get an image of how they differ from animals and plants in our "today world."
We can learn about the future by studying the past. Certain weather patterns might have caused a species to adapt or go extinct, thus causing us to discover them and explore and create new ideas about the Earth and its secrets.
We can learn about life in the past from fossils. Fossils give us an accurate answer to all our guesses and hypothesis's. When studying these creatures or animals, we are able to sharpen our knowledge of the past.
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Answer:
The ball will drop 0.881 m by the time it reaches the catcher.
Explanation:
The position of the ball at time "t" is described by the position vector "r":
r = (x0 + v0x · t, y0 + v0y · t + 1/2 · g · t²)
Where:
x0 = initial horizontal position.
v0x = initial horizontal velocity.
t = time.
y0 = initial vertical position.
v0y = initial vertical velocity.
g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).
When the ball reaches the catcher, the position vector will be "r final" (see attached figure).
The x-component of the vector "r final", "rx final", will be 17.0 m. We have to find the y-component.
Using the equation of the x-component of the position vector, we can calculate the time it takes the ball to reach the catcher (notice that the frame of reference is located at the throwing point so that x0 and y0 = 0):
x = x0 + v0x · t
17.0 m = 0 m + 40.1 m/s · t
t = 17.0 m/ 40. 1 m/s = 0.424 s
With this time, we can calculate the y-component of the vector "r final", the drop of the ball:
y = y0 + v0y · t + 1/2 · g · t²
Initially, there is no vertical velocity, then, v0y = 0.
y = 1/2 · g · t²
y = -1/2 · 9.8 m/s² · (0.424 s)²
y = -0.881 m
The ball will drop 0.881 m by the time it reaches the catcher.
