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3 years ago

Tonya is riding a motorcycle that goes from 30 m/s to 75 m/s in 5s. She is heading south to Florida. What is her acceleration?

Physics

1 answer:

sasho [114]3 years ago

3 0

Since acceleration = Vf- Vi/t
Vf = 75m/s
Vi = 30m/s

Then acceleration = 75-30/5
= 9m/s.

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A hot air balloon is traveling vertically upward at a constant speed of 4.5 m/s. When it is 28 m above the ground, a package is

ella [17]

Answer:

1.97 seconds

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 9.8 m/s²

$s=ut+\frac{1}{2}at^2\\\Rightarrow 21=4.5t+\frac{1}{2}\times -9.8\times t^2\\\Rightarrow 21=-4.5t-4.9t^2\\\Rightarrow 4.9t^2+4.5t-28=0\\\Rightarrow 49t^2+45t-280=0$

Solving the above equation we get

$t=\frac{-45+\sqrt{45^2-4\cdot \:49\left(-280\right)}}{2\cdot \:49}, \frac{-45-\sqrt{45^2-4\cdot \:49\left(-280\right)}}{2\cdot \:49}\\\Rightarrow t=1.97, -2.89$

So, the time the package was in the air is 1.97 seconds

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3 years ago

What is the radius of the event horizon of a 10 solar mass black hole?

deff fn [24]

Answer:

The number take for the "radius" is normally taken to be the radius from the center to the event horizon, since nothing inside that can be observed, and since it is a point of no return. This radius is directly proportional to the mass of the black hole. From the Wikipedia article on event horizon: "For the mass of the Sun this radius is approximately 3 kilometers and for the Earth it is about 9 millimeters. In practice, however, neither the Earth nor the Sun has the necessary mass and therefore the necessary gravitational force, to overcome electron and neutron degeneracy pressure." The last sentence means that it is unlikely for the Sun to become a black hole, since it has too little mass to become one.

Explanation:

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3 years ago

Which type of electromagnetic waves have longer wavelengths that the waves that make up visible light.

Inessa [10]

Answer:

radiation

Explanation:

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4 years ago

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If your speed changes from 10 km/h to 6 km/h, you have a(n) ______ acceleration.. a.. negative. c.. neutral. b.. positive. d.. o

photoshop1234 [79]

<span>If your speed changes from 10 km/h to 6 km/h, you have a negative acceleration. The correct option among all the options that are given in the question is the first option or option "a". The other choices are totally incorrect. I hope that this is the answer that has actually come to your help.</span>

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4 years ago

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A hot air balloon rises at a constant speed of 13 meters/second relative to the air. There is a wind blowing eastwards at a spee

Airida [17]

Answer:

13.02 m/s the velocity and 86.92 degrees the direction relative to ground

Explanation:

We need to add velocities in vector addition to find the resultant velocity " $v$ " of the balloon (the 13 m/s and the 0.7 m/s).

The velocities are at 90 degrees from each other (one pointing up and the other to the East). Notice from the attached image that the resultant velocity vector (picture in red) is actually the hypotenuse of a right angle triangle.

So we use Pythagoras to find the length (magnitude) of the resultant velocity vector:

$v = \sqrt{13^2 +0.7^2} = 13.018832...$

we can round the answer to 13.02 m/s

Now we need to find the angle that this new vector makes with the ground by using the definition of tangent of an angle that relates the two quantities that we just added:

$tan (\theta) = 13/0.7 \\ \theta = arctan (\frac{13}{07} = 86.91781918...$

So we round it to 86.92 degrees

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3 years ago