A speeder passes a parked police car at a constant speed of 23.3 m/s. At that instant, the police car starts from rest with a uniform acceleration of 2.75 m/s 2 . How much time passes before the speeder is overtaken by the police car? Answer in units of s.

Answers

Answer 1

Answer:

Answer:

32s

Explanation:

We must establish that by the time the police car catches up to the speeder, both have travelled a certain distance during the same amount of time. However, the police car experiences accelerated motion whereas the speeder travels at a constant velocity. Therefore we will establish two formulas for distance starting with the speeder's distance:

$x=vt=23.3(m)/(s)t$

and the police car distance:

$x=vt+(at^(2))/(2)=0+(2.75(m)/(s^(2)) t^(2))/(2)=0.73(m)/(s^(2))$

Since they both travel the same distance x, we can equal both formulas and solve for t:

$0 = 0.73(m)/(s^(2))t^(2)-23.3(m)/(s) t\n\n0=t(0.73(m)/(s^(2))t-23.3(m)/(s) )\n\n$

Two solutions exist to the equation; the first one being $t=0$

The second solution will be:

$0.73(m)/(s^(2))t=23.3(m)/(s)\n\nt=(23.3(m)/(s))/(0.73(m)/(s^(2)))=32s$

This result allows us to confirm that the police car will take 32s to catch up to the speeder

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The Ptolemaic theory of the universe was disproved bya. Descartes.
b. Kepler.
c. Copernicus.
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Answers

The Ptolemaic theory of the universe wasdisproved by Nicolaus Copernicus (1473–1543), letter C and followed by JohannesKepler (1571–1630). Geocentrictheory suggested that the Sun and moon orbited Earth, and the rest of theplanets orbited the Sun is Heliocentric theory. Heliocentric theory of NicolausCopernicus during the Scientific Revolution on 17th and 18thcentury while Geocentric theory was proposed by Ptolemy (AD 150) and Aristotle.Today, we believe more on the Heliocentric theory and it has been proven aswell.

During a race, a runner runs at a speed of 6 m/s. 2 seconds later, she is running at a speed of 10 m/s. What is the runner’s acceleration? Show your work.

Answers

v o = 6 m/s,
t = 2 s
v = 10 m/s
v = v o + a t
a t = v - v o
a = ( v - v o ) / t
a = ( 10 m/s - 6 m/s ) / 2 s = 4 m/s / 2 s = 2 m/s²
Answer:
The runner`s acceleration is 2 m/s².

A temperature of 200°F is equivalent to approximately A. 232°C.
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C. 840°C.
D. 37.8°C.

Answers

C = 5/9 x (°F - 32)

C = 5/9 (200 - 32)

C = 5/9 x 168

C = 37.74 C or to round off 37.8 C

Hope this helps

Which one of the following lines best illustrates personification? A.She floated graceful as a dove

B.Spring is a dream unsung

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D.The fog comes on little cat feet

Answers

C. A narrow wind complains all day.

Personification is a figure of speech wherein animals, objects, and ideas are given human traits or characteristics.

The narrow wind, which is an unseen object, was given a human trait which is complains.

The lines that best illustrates personification is (D), The fog comes on little cat feet.

What is personification?

Personification is a literary device where inanimate objects are given human qualities. In the line "The fog comes on little cat feet," the fog is given the human qualities of walking and having feet. This is a clear example of personification.

The other lines do not illustrate personification. In line A, "She floated graceful as a dove," the dove is being compared to a graceful woman, but the dove is not being given any human qualities. In line B, "Spring is a dream unsung," spring is being compared to a dream, but spring is not being given any human qualities. In line C, "A narrow wind complains all day," the wind is being compared to a person who is complaining, but the wind is not being given any human qualities.

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A sound wave travels at 330 m/sec and has a wavelength of 2 meters. Calculate its frequency and period.

Answers

The frequency of the wave with a speed of 330 m/s and 2 meter wavelength is 165 Hz. The time period of the wave is then, 0.006 seconds.

What is frequency ?

Frequency of a wave is the number of wave cycles per second. Frequency of a wave is the inverse of its time period. It is inversely proportional to the wavelength and directly proportional to the speed.

Hence, ν = c/λ, where c is the speed.

The frequency of a sound wave is called its pitch.

Given that, c = 330 m/s

wavelength λ = 2 meters.

frequency = 330/2 = 165 s⁻¹ or 165 Hz.

The time period of a wave = 1/ frequency.

T = 1/165 = 0.006 s or 6 milliseconds.

Therefore, the frequency of the wave is 165 Hz and time period is 0.006 seconds.

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frequency=velocity/wavelength 330/2=165 hertz period=1/frequency=1/165 second

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Answers

The correct answer for the question that is being presented above is this one: "a. the pressure decreases." As the speed of a fluid increases, the pressure decreases." The relationship of the speed and the pressure is inversely proportional. As the pressure increases, the speed decreases.

I think the answer is A.

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