Answer:
Final distance from the origin: 10.82 km. the vector points as shown in the attached image.
Angle with respect to the east: 
Explanation:
Please refer to the attached image. The cyclist's trip is indicated with the green arrows (9 km to the north followed by 6 km to the east.
So his final position is at the tip of this last vector, and indicated by the orange vector drawn form the point where the trip starts to the cyclist's final location.
We observe that this orange vector is in fact the hypotenuse of a right angle triangle, and we can estimate the distance from the origin by the Pythagorean theorem:
Notice that this is NOT the actual number of km that the cyclist pedaled to reach the final point.
Now, to find the value of the angle 
, we need to use trigonometry, and in particular the tangent function gives us the ratio between the side of the triangle "opposite" to the angle, divided the side "adjacent" to the angle:
Now we can find the value of the angle by using the arctan function:
Answer: 
The linear momentum 
is given by the following equation:
(1)
Where 
is the mass and 
the velocity.
On the other hand, the kinetic energy 
is given by:
(2)
Which is the same as:
Now, if we double the kinetic energy, equation (2) changes to:
(3)
So, if we want to obtain the kinetic energy as shown in (3), the only option that works is increasing momentum by a factor of or 
:
Applying this in (2):
>>>As we can see, this equation is the same as equation (3)
Therefore, the correct answer is B
A non <span>foliated </span>rock has interlocking grains with no specific pattern.
Answer: C. gravitational kinetic
Explanation: Gravitational potential energy is the energy calculated from an object's mass height and the acceleration due to gravity. The gravitational potential energy is the energy an object has as a result of the position of the object in a gravitational field.
