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3 years ago

During the _____ developmental stage children are drawing their thoughts instead of merely observations.

Physics

1 answer:

Maru [420]3 years ago

7 0

Answer:

D. pre schematic

Explanation:

During the _pre schematic____ developmental stage children are drawing their thoughts instead of merely observations.

Pre schematic stage in children is the age at which they drawing, symbols, spatial figures to express themselves. Their becomes more complex and full of lines as they age. They use single base lines, multiple base lines and fold up views.

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3 years ago

A balloon rises at the rate of 8 feet per second from a point on the ground 12 feet from an observer. To 2 decimal places in rad

Hitman42 [59]

Answer:

$\displaystyle \theta' =0.24\ rad/s$

Explanation:

Rate Of Change

Let some variable y depend on time t. we can express y as a function of t as

$y=f(t)$

The instant rate of change of y respect to t is the first derivative, i.e.

$y'=f'(t)$

The balloon, the ground and the observer form a right triangle (shown below) where the height of the balloon y, the horizontal distance x, and the angle of elevation are related with the trigonometric formula

$\displaystyle tan\theta =\frac{y}{x}$

Since x is constant, we take the derivative with respect to time by using the chain rule:

$\displaystyle sec^2\theta \ \theta' =\frac{y'}{x}$

Solving for $\theta'$

$\displaystyle \theta' =\frac{y'}{xsec^2\theta}$

Let's compute the actual angle with the initial conditions y=9 feet, x=12 feet

$\displaystyle tan\theta =\frac{y}{x}$

$\displaystyle tan\theta =\frac{9}{12}=\frac{3}{4}$

Knowing that

$\sec^2\theta=1+tan^2\theta$

$\displaystyle \sec^2\theta=1+\left(\frac{3}{4}\right)^2$

$\displaystyle \sec^2\theta=\frac{25}{16}$

The balloon is rising at y'=8 feet/sec, thus we compute the change of the angle of elevation:

$\displaystyle \theta' =\frac{8}{12\ \frac{25}{16}}$

$\displaystyle \theta' =\frac{32}{75}\ rad/s$

$\boxed{\displaystyle \theta' =0.43\ rad/s}$

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4 years ago

What are the units of radiation?

Ksenya-84 [330]

The radiation dose absorbed by a person is measured using the conventional unit rad or the SI unit gray. The biological risk of exposure to radiation is measured using the conventional unit rem or the SI unit sievert.

I hope this helps!

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3 years ago