Answer:
v = 2.974
Explanation:
Perhaps the formula should be
v = √(2*g*d (sin(θ) - uk*cos(θ) ) This is a bit easier to read.
v = √(2* 9.80*0.725(0.707 - 0.12*0.707) ) Substitute values. Find 2*g*d
v = √14.21 * (0.707 - 0.0849) Figure out Sin(θ) - uk cos(θ)
v = √14.21 * (0.6222)
v = √8.8422 Take the square root of the value
v = 2.974
Without air resistance, there is no horizontal force on the projectile,
so it has no horizontal acceleration. The answer is "zero".
Answer:
Closure is the process of: Closing
Explanation:
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Answers:
a) 154.08 m/s=554.68 km/h
b) 108 m/s=388.8 km/h
Explanation:
<u>The complete question is written below:
</u>
<u></u>
<em>In 1977 off the coast of Australia, the fastest speed by a vessel on the water was achieved. If this vessel were to undergo an average acceleration of
, it would go from rest to its top speed in 85.6 s. </em>
<em>a) What was the speed of the vessel?
</em>
<em>
</em>
<em>b) If the vessel in the sample problem accelerates for 1.00 min, what will its speed be after that minute? </em>
<em></em>
<em>Calculate the answers in both meters per second and kilometers per hour</em>
<em></em>
a) The average acceleration
is expressed as:
(1)
Where:
is the variation of velocity in a given time
, which is the difference between the final velocity
and the initial velocity
(because it starts from rest).

Isolating
from (1):
(2)
(3)
(4)
If
and
then:
(4)
b) Now we need to find the final velocity when
:
<em></em>
(5)
(6)
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 "
" 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:

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:

So we round it to 86.92 degrees