1. A cube's volume is 512 cubic units. What is the length of its edge?

A student designs a container to prevent an egg from breaking when dropped from a height of 30 feet. Write a function that gives

Rufina [12.5K]

Answer:

As i understand, you put an egg inside a container, and then you drop it from 30ft above the ground.

Now, when the container is in the air, the only force acting on it will be the gravitational force (we can discard things like the air resistance, as we do not know the shape or volume of the container).

The gravitational acceleration is g = 32.2ft/s^2

Then the acceleration of the container will be:

A(t) = -32.2ft/s^2

For the velocity, we need to integrate over time to get:

V(t) = (-32.2ft/s^2)*t + v0

where v0 is the initial velocity, as the container is "dropped", the initial velocity is zero, then:

V(t) = (-32.2ft/s^2)*t

For the position, or height in this case, we integrate again over time, and get:

P(t) = (1/2)*(-32.2ft/s^2)*t^2 + p0

Where p0 is the initial height, 30 ft in this case.

Then the equation for the height, as a function of time, is:

P(t) = (-16.1ft/s^2)*t^2 + 30ft.

Where the fact that the container is made in such a way that an egg inside of it does not break (For example, made of a really dense and elastic material that can absorb all the energy of the impact), does not change anything in this equation, as the kinematics do not depend on that kind of properties.

3 0

3 years ago

At a local fair, a roller coaster takes 11.89 seconds to complete one ride. If eight people can ride at the same time, use estim

lina2011 [118]

Quantity of rides : 1 horu / 11.89 seconds = 3600 seconds / 11.89 seconds = approximately 302 rides

1 ride - 8 people |multiply 302

302 rides - 2416 people

2416 people can ride the roller coaster In one hour

4 0

3 years ago

This table shows the number of goals scored in 25 Premier League football matches

umka21 [38]

The answer is attached above. I hope this helps!

8 0

3 years ago

Form a seven-letter word by mixing up the letters in the word PICTURE.

Amiraneli [1.4K]

P I C T U R E

cuprite

cuprite is a gemstone, made of copper oxide Cu2O, and is a minor ore of copper.

7 0

3 years ago

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the

Anna71 [15]

Given:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.

To find:

The coordinates of the vertices of triangle A’B’C’.

Solution:

If triangle ABC reflected across y-axis, then

$(x,y)\to (-x,y)$