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2 years ago

What is the name of the shape depicted in the graph below

Mathematics

1 answer:

myrzilka [38]2 years ago

8 0

We can not answer this without the photo...

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Salmon often jump waterfalls to reach their breeding grounds. One salmon starts 2.00m from a waterfall that is 0.55m tall and ju

Law Incorporation [45]

Answer: 6.2 m/s

Explanation:

1) This is a projectile motion (parabolic)

2) Velocity:

i) initial velocity = V₀

ii) Horizontal component:

V₀x = V₀ cos α

The horizontal velocity is constant, so Vx = V₀x

ii) Vertical component:

V₀y = V₀ sin α

The vertical component is linear with acceleration = g ≈ 9.8 m/s²

Vy = V₀y - gt = V₀ sin α - gt

3) Displacement equations

i) Horizontal displacment:

x = V₀ cosα t

ii) Vertical displacement:

y = V₀ sin α t - g t² / 2

y ≈ V₀ sin α t - 4.9 t²

4) Solution

i) x = V₀ cosα t = V₀ cos(32°) t = 2.00 m ← salmon starts 2.00m from a waterfall

⇒ V₀ = 2 / [cos(32°) t ]

ii) y = V₀ sin α t - 4.9 t² = V₀ sin(32°) t - 4.9 t²

iii) Replace V₀ with 2 / [cos(32°) t ]

y = sin(32°) × 2 / [cos(32°) t ] × t - 4.9t² = 2 tan(32°) - 4.9t²

iv) Use jump's height (y = 0.55m) and solve

⇒ 0.55 = 2 tan(32°) - 4.9t²

t² = [2 tan(32°) - 0.55 ] / 4.9 = 0.143 s²

⇒ t = √ (0.143s²) = 0.38 s

v) Use V₀ = 2 / [cos(32°) t ] to find V₀

V₀ = 2 / [cos(32°) (0.38) ] = 6.2 m/s

8 0

2 years ago

Read 2 more answers

The price of a recipe-book was reduced from $24.50 to$17.95. If p represents the percent decrease in price of the book, which pr

LuckyWell [14K]

Answer:

The required proportion is $\frac{p}{100}=\frac{24.50-17.95}{24.50}$ .

Step-by-step explanation:

Consider the provided information.

The price of a recipe-book was reduced from $24.50 to$17.95.

The original price is 24.50

Reduced price is 17.95.

Let p represents the percent decrease in price of the book.

$\text{Percent decrease}=\frac{\text{Original price-Reduced price}}{\text{Original price}}\times 100$

Now substitute the respective values in the above formula.

$p=\frac{24.50-17.95}{24.50}\times 100$

$\frac{p}{100}=\frac{24.50-17.95}{24.50}$

Hence, the required proportion is $\frac{p}{100}=\frac{24.50-17.95}{24.50}$ .

4 0

2 years ago

Which statement describes 4/7 x 3/5?

Nataly [62]

Answer:

0.34285714285 i think

Step-by-step explanation:

6 0

2 years ago

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Sara is saving her summer earnings for a $500 school trip in the fall. She has $200 in her savings account at the beginning of J

Vilka [71]

Answer:she will need around 9 weeks and she will have enuogh

Step-by-step explanation:

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2 years ago

In a small community, a survey on the favorite television programs of 63 housewives was made. Based on the survey, 38 housewives

scoundrel [369]

Answer:

x = 4

Step-by-step explanation:

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2 years ago