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lutik1710 [3]
3 years ago
6

Jasmine is diving off a 3-meter springboard. her height in meters above the water when she is x meters horizontally from the end

of the board is approximated by the equation h=-x^2+3x+3. what is the maximum height jasmine will reach on her dive?
Physics
1 answer:
olganol [36]3 years ago
8 0

Answer:

5.25 m

Explanation:

Given;

The height equation h;

h=-x^2+3x+3

Where;

h = the height above water

x = horizontal distance from the end of the board

The maximum height is at h' = 0, when change in h with respect to change in x is equal to zero.

differentiating the equation h.

dh/dx = h' = -2x + 3 = 0

Solving for x;

2x = 3

x = 3/2

Substituting into the function h;

h max = -x^2+3x+3

h max = -(3/2)^2 + 3(3/2) +3 = -9/4 +9/2 +3 = 9/4 + 3 =

h max = 21/4 = 5.25 m

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Una ola oceánica viaja a aproximadamente 1,97 m / s. Esto es 4 millas por hora. La frecuencia de las ondas es de aproximadamente
yKpoI14uk [10]

Answer:

λ = 28,14 m

Explanation:

To find the wavelength of the wave you use the following formula:

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You replace the values of v and f in the equation (1) and solve for λ:

\lambda=\frac{v}{f}=\frac{1,97m/s}{0,07Hz}=28,14m

hence, the wavelength of the wave is 28,14 m

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3 years ago
How far does a wave travel in three cycles?
eduard
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3 years ago
A 3.00 kg mud ball has a perfectly inelastic collision with a second mud ball that is initially at rest. the composite system mo
viva [34]
Perfectly inelastic collision is type of collision during which two objects collide, stay connected and momentum is conserved. Formula used for conservation of momentum is:

m_{1} * v_{1} +  m_{2} * v_{2} =  m_{1} * v'_{1} +  m_{2} * v'_{2}

In case of perfectly inelastic collision v'1 and v'2 are same.

We have following information:
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Now we insert given information and solve for m₂:
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3v₁ = v₁ + m₂*1/3*v₁
2v₁ = m₂*1/3*v₁
2 = m₂*1/3
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Mass of second mud ball is 6kg.
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3 years ago
A __________ is often written as an if/then statement. prediction law theory guess
tino4ka555 [31]
A hypothesis is often written as an if/then statement or prediction law theory guess. A hypothesis is also known as an educated guess.

Your answer is: Hypothesis 

Have an amazing day!
4 0
3 years ago
Read 2 more answers
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