Answer:
B) freezing
Explanation:
I just took the test on Edgenuity
Answer:
dt = ds/dv.
Explanation:
to calculate the time step if you have a vector of accumulative distance and instanteneous velocity vector can be expressed bellow
solution
ds = dv/dt
divide the step distance by the instantaneous velocity you will get the time step.
that it
dt = ds/dv.
so to calculate the time step having a vector that keeps adding every step and speed at that moment is this dt = ds/dv.
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:
12.2 m/s
Explanation:
Initial momentum = final momentum
In the x direction:
(900 kg) (15.0 m/s) = (900 kg + 750 kg) vx
vx = 8.18 m/s
In the y direction:
(750 kg) (20.0 m/s) = (900 kg + 750 kg) vy
vy = 9.09
The magnitude of the velocity is therefore:
v = √(vx² + vy²)
v = 12.2 m/s