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Nata [24]
3 years ago
10

Sally goes on a hike. The distance she walks compared to the amount of time she walks is shown on the graph. Which statement is

not true?
A.
The longer Sally walks, the farther she travels.
B.
Sally does not walk from the 6th to the 7th hour.
C.
Sally walks at a constant rate.
D.
Sally walks fastest from the 3rd hour to the 4th hour.
Physics
1 answer:
Neko [114]3 years ago
5 0
According to the task there should be the graph that supports Sally's hike, but after looking on the options it seems that Sally doesn't walks at a constant rate and there is the negative option that coincides with my thoughts. So, I bet the false statement is the third option represented in the scale above.
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velikii [3]

Answer:

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

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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

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\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
You jump off a truck and accelerate toward the surface of the Earth. Does the Earth accelerate toward you?
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When we jump from the truck and accelerate towards the earth surface, the earth also accelerates towards us but it's acceleration is very negligible.

To find the answer, we need to know about the acceleration of earth due to the gravitational attraction.

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m= mass of the person

r= separation between them.

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Based on the attached image:

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Longitude lines divide the earth into semi-circles.

Longitude lines are known as meridians and each meridian measures one arc degree of longitude.

Considering the attached image:

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