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Kazeer [188]
3 years ago
14

Baseball player swings and hits a pop fly straight up in the air to the catcher. the height of the baseball in meters t seconds

after it is hit is given by the quadratic function h left parenthesis t right parenthesis equals negative 4.9 t squared plus 34.3 t plus 1h(t)=â4.9t2+34.3t+1. how long does it take for the baseball to reach its maximumâ height? what is the maximum height obtained by theâ baseball?
Physics
1 answer:
andre [41]3 years ago
4 0
The height at time t is given by
h(t) = -4.91t² + 34.3t + 1

When the ball reaches maximum height, its derivative, h'(t) = 0.
That is,
-2(4.91)t+34.3 = 0
-9.82t + 34.3 = 0
t = 3.4929 s

Note that h''(t) = -9.82 (negative) which confirms that h will be maximum.

The maximum height is
hmax = -4.91(3.4929)² + 34.3(3.4929) + 1
          = 60.903 m

Answer:
The ball attains maximum height in 3.5 s (nearest tenth).
The ball attains a maximum height of 60.9 m (nearest tenth)

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A ball thrown straight up takes 1.89s to reach a height of 41.6m.
yulyashka [42]

Answer:

Explanation:

average velocity is 41.6/1.89 = 22.0 m/s

initial velocity u is

22.0 = (u + u - 9.81(1.89))/2

44.0 = 2u - 18.5

62.56 = 2u

u = 31.3 m/s

max height is

v² = u² + 2as

s = (v² - u²) / 2a

s = (0² - 31.3²) / (2(-9.81)) = 49.9 m

49.9 = 41.6 = 8.27 m higher

In process numbers have been rounded to 3 s.d. for reporting purposes.

8 0
3 years ago
The increase in resistant strains of insects to chemicals is a result of:
trapecia [35]

Answer:

answer D. all of the above

5 0
3 years ago
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Fofino [41]

Let's assume this is a drawing of particles of a gas substance. This assumption is made upon the fact that these particles are not close and are represented in motion characteristic for gases. Gases can become solid by skipping the liquid phase. This process is called deposition. Also, a gas can become a liquid through the process of condensation as a result of energy loss at molecular level. Likewise, this is enabled thanks to heat loss or applied pressure.

5 0
3 years ago
A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed
mafiozo [28]

Answer:

0.6375 m/s

Explanation:

Let x be the distance of the man from the building

from the figure attached

initially the value of x=12

Given:

\frac{dx}{dt}=-1.7m/s

where the negative sign depicts that the distance of the man from the building is decreasing.

Now, Let The length of the shadow be = y

we have to calculate \frac{dy}{dt} when x=4

from the similar triangles

we have,

\frac{2}{12-x}=\frac{y}{12}    

or

y=\frac{24}{12-x}

Differentiating with respect to time 't' we get

\frac{dy}{dt}=-\frac{24}{12-x}^2\frac{-dx}{dt}

or

\frac{dy}{dt}=\frac{24}{12-x}^2\frac{dx}{dt}

Now for x = 4, and \frac{dx}{dt}=-1.7m/s  we have,

\frac{dy}{dt}=\frac{24}{12-4}^2\times (-1.7)

or

\frac{dy}{dt}=-0.6375m/s

<u>here, the negative sign depicts the decrease in length and in the question it is asked the decreasing rate  thus, the answer is </u><u>0.6375m/s</u>

4 0
3 years ago
What type of wave has a wavelength?<br><br><br>​
Viktor [21]

Answer:

. Radio waves, infrared rays, visible light, ultraviolet rays, X-rays, and gamma rays are all types of electromagnetic radiation.

Explanation:

Radio waves have the longest wavelength, and gamma rays have the shortest wavelength.

4 0
3 years ago
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