The initial velocity used by the flea to jump straight upward is 3.1 m/s
<h3>Data obtained from the question</h3>
The following data were obtained from the question:
- Acceleration due to gravity (g) = 9.8 m/s²
- Maximum height (h) = 0.49 m
- Final velocity (v) = 0 m/s (at maximum height)
- Initial velocity (u) =?
<h3>How to determine the initial velocity</h3>
The initial velocity used by the flea to jump upward can be obtained as follow:
v² = u² – 2gh (since the ball is going against gravity)
0² = u² – (2 × 9.8 × 0.49)
0 = u² – 9.604
Collect like terms
u² = 0 + 9.604
u² = 9.604
Take the square root of both sides
u = √9.604
u = 3.1 m/s
Thus, the initial velocity is 3.1 m/s
Learn more about motion under gravity:
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Answer:

Explanation:
Given
See attachment for the graph
Required
Determine the frequency
Frequency (F) is calculated as:

Where
T = Time to complete a period
From the attachment, the wave complete a cycle or period in 3 seconds..
So:


--- Approximated
Aristotle's geocentric theory failed to match the expected predictions because a few celestial objects appear to have retrograde motion.
Answer: Option B
<u>Explanation:</u>
Aristotle’s theory states that all the bodies in universe rotate around the earth, and earth is located at the centre. But, the most serious challenge it was given was that, the difference found in the paths of revolution of mercury and Venus. They are revolving around the sun, and not the earth, periodically.
This is the significant drawback, and major factor for the Copernicus and the other models to be achieved. The mercury and Venus, closest planets to earth, and the sun too, are not following the earth’s path. And hence, upon studying clearly, all celestial bodies do not follow a path round the earth, but around a fireball, that is sun.