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VikaD [51]
3 years ago
9

William and Stephanie are playing a rather dangerous game of catch on the rooftops of skyscrapers in downtown Chicago. William i

s preparing to throw a tennis ball off the roof of the John Hancock Center, 1130 feet above street level. Stephanie is waiting to catch the ball on the rooftop of the neighboring Water Tower Place, 830 feet above street level. William throws the ball, which leaves his hand with an upward velocity of 46 feet per second, and travels in a parabolic path. Stephanie catches the ball exactly 6.0 seconds after it is thrown. Create a quadratic function describing the height of the ball above the street level with respect to time.
Mathematics
1 answer:
olasank [31]3 years ago
7 0
The question involves the concept & equations associated with projectile motion.

Given:
y₁ = 1130 ft
v₁ = +46 ft/s (note positive sign indicates upwards direction)
t = 6.0 s
g = acceleration due to gravity (assumed constant for simplicity) = -32.2 ft/s²


Of the possible equations of motion, the one we'll find useful is:

y₂ = y₁ + v₁t + 1/2gt²

We can just plug and chug to define the equation of motion:

<u><em>y = (1130 ft) + (46 ft/s)t + 1/2(-32.2 ft/s²)t²</em></u>


<em>(note: if you were to calculate y using t = 6.0 s, you'd find that y = 826.4 ft, instead of 830 ft exactly because of some rounding of g and/or the initial velocity)</em>

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2 years ago
Write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2
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\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond

         Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond

<u>Point-slope form</u>:-

      \sf{y-y_1=m(x-x_1)}

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

\sf{y-1=2(x-0)}

So we conclude that Option B is correct.

<h3>Good luck.</h3>

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3 years ago
The volume of this storage container is 1,400 cubic inches. The length is 20 inches and the width is 14 inches.
Vitek1552 [10]

Answer:

<h2>A) Height is the missing measurment.</h2><h2 /><h2> B)  1,400= 20 × 14 × H</h2><h2 /><h2>C) 1400 ÷ H = 280</h2>

Step-by-step explanation:

A) Length × Width × Height

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2 years ago
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