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2 years ago

13

a car moves at 12m/s and coasts up a hill with a uniform acceleration of -1.6m/s2. how far has it traveled after 6.0s?

1 answer:

bulgar [2K]2 years ago

6 0

The car has traveled 2.4 miles

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A hot air balloon is on the ground, 200 feet from an observer. The pilot decides to ascend at 100 ft/min. How fast is the angle

liq [111]

Answer:

0.0031792338 rad/s

Explanation:

$\theta$ = Angle of elevation

y = Height of balloon

Using trigonometry

$tan\theta=y\dfrac{y}{200}\\\Rightarrow y=200tan\theta$

Differentiating with respect to t we get

$\dfrac{dy}{dt}=\dfrac{d}{dt}200tan\theta\\\Rightarrow \dfrac{dy}{dt}=200sec^2\theta\dfrac{d\theta}{dt}\\\Rightarrow 100=200sec^2\theta\dfrac{d\theta}{dt}\\\Rightarrow \dfrac{d\theta}{dt}=\dfrac{100}{200sec^2\theta}\\\Rightarrow \dfrac{d\theta}{dt}=\dfrac{1}{2}cos^2\theta$

Now, with the base at 200 ft and height at 2500 ft

The hypotenuse is

$h=\sqrt{200^2+2500^2}\\\Rightarrow h=2507.98\ ft$

Now y = 2500 ft

$cos\theta=\dfrac{200}{h}\\\Rightarrow cos\theta=\dfrac{200}{2507.98}=0.07974$

$\dfrac{d\theta}{dt}=\dfrac{1}{2}\times 0.07974^2\\\Rightarrow \dfrac{d\theta}{dt}=0.0031792338\ rad/s$

The angle is changing at 0.0031792338 rad/s

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3 years ago

There is a force which resists changes in motion, called

adoni [48]

Answer:

inertia 11

Explanation:

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3 years ago

A ship sails west for 100km and then south for 100km. What is the displacement?

ale4655 [162]

$\sf \vec{w}=100$

$\sf \vec{s}=100$

For displacement apply Pythagorean theorem

$\\ \rm\hookrightarrow 100^2+100^2$

$\\ \rm\hookrightarrow 10000+10000$

$\\ \rm\hookrightarrow 20000$

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2 years ago

How are the energy of infrared, visible light and ultraviolet rays related? And why?

Aliun [14]

Infrared contains the least energy and ultraviolet contains the most energy. The energy of a wave is inversely proportional to its

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3 years ago

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Question 10 of 10Which statements are true?Check all that apply.O A. If heat is added to a substance, the temperature alwaysincr

inna [77]

The true statements are B and C.

This comes from the following facts:

Even when heat is added to a substance in a change of phase the temperature does not increases since this heat is latent heat.

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1 year ago