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Vika [28.1K]
2 years ago
15

A baseball is thrown into the air from a height of 5 feet. the ball reaches a maximum height of 43.5 feet and spends a total of

3.2 seconds in the air. which equation models the height of the baseball? assume that acceleration due to gravity is –16 ft/s2. h(t) = 16t2 49.64t 5 h(t) = -16t2 5t 49.64 h(t) = -16t2 49.64t 5 h(t) = 16t2 5t 49.64
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
7 0

The equation that models the height of the baseball is determined as H(t) = 5 + 49.64t -16(t)².

<h3>Maximum height reached by the base ball</h3>

The maximum height reached by the baseball is calculated as follows;

H = y₀ + v₀yt + ¹/₂gt²

Assuming negative direction for upward motion

H = y₀ + v₀yt - ¹/₂gt²

0 = y₀ + vt -16(t)²

0 = 5 + 3.2v - 16(3.2)²

0 = 5 + 3.2v - 163.84

3.2v = 158.84

v = 158.84/3.2

v = 49.64

<h3>Required equation model</h3>

H(t) = 5 + 49.64t -16(t)²

Learn more about maximum height here: brainly.com/question/12446886

#SPJ1

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wolverine [178]

Answer:

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Step-by-step explanation:

A sinusoidal wave is written in the general form as:

f(x) = A*cos(w*x) + C

Where:

- A is the amplitude.

- w is the angular frequency, this is equal to 2*pi/T

  where T is the period.

- y = C is the midline.

Then in the equation:

f(x) = 5*cos(2*x) + 3

- 5 is the amplitude.

- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)

- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:

2 = 2*pi/T

T = 2*pi/2 = pi

pi is the period.

- y = 3 is the midline.

3 0
3 years ago
Which expression gives the distance between the points (4,6) and (7,-3)
defon

Answer:

D = 9.4868

Step-by-step explanation:

The expression is the following

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Where

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D = √((7-4)^2+(-3-6)^2)

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6 0
4 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The answer should be .25 because:

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4 0
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      28

25/715

   <u>-50 </u>

    215

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