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Novosadov [1.4K]
4 years ago
10

After training for a marathon, you would like to complete your first attempt of the 26.22 mile race in under 4.800 hours. At wha

t pace is the slowest you could run and still finish by your goal time (provide your answer in miles/s)?
Physics
1 answer:
melamori03 [73]4 years ago
8 0

Answer:

<em>1.52 x 10^-3 miles per sec</em>

<em></em>

Explanation:

distance to be covered = 26.22 miles

targeted time = 4.8 hours

4.8 hours in seconds = 4.8 x 60 x 60 = 17280 sec

Speed = distance/time

speed = 26.22/17280 = <em>1.52 x 10^-3 miles per sec</em>

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Which type of mine involves digging tunnels and shafts deep underground?
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7 0
2 years ago
The equation r (t )=(2t + 4)⋅i + (√ 7 )t⋅ j + 3t ²⋅k the position of a particle in space at time t. Find the angle between the v
velikii [3]

Answer:

\theta = n\pi/2, {\rm where~n~is~an~integer.}

Explanation:

We should first find the velocity and acceleration functions. The velocity function is the derivative of the position function with respect to time, and the acceleration function is the derivative of the velocity function with respect to time.

\vec{v}(t) = \frac{d\vec{r}(t)}{dt} = (2)\^i + (\sqrt{7})\^j + (6t)\^k

Similarly,

\vec{a}(t) = \frac{d\vec{v}(t)}{dt} = (6)\^k

Now, the angle between velocity and acceleration vectors can be found.

The angle between any two vectors can be found by scalar product of them:

\vec{A}.\vec{B} = |\vec{A}|.|\vec{B}|.\cos(\theta)

So,

\vec{v}(t).\vec{a}(t) = |\vec{v}(t)|.|\vec{a}(t)|.\cos(\theta)\\36t = \sqrt{4 + 7 + 36t^2}.6.\cos(\theta)

At time t = 0, this equation becomes

0 = 6\sqrt{11}\cos(\theta)\\\cos(\theta) = 0\\\theta = n\pi/2, {\rm where~n~is~an~integer.}

7 0
3 years ago
A battery is connected to a light bulb that has 3 of resistance . If there is 0.5 A of current flowing what is the voltage on th
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Answer:

1.5 V

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3 years ago
Comparing X-ray to radio wave, which has a shorter wavelength?
Daniel [21]

Answer:

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Explanation:

X-rays can penetrate through matter because of their high frequencies while radio waves are not able to do so as much. If you think about it, taking an x-ray requires a lot more energy than for radio waves to allow you to listen to songs on the radio. Hope this helps :)

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