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)
Ability to maintain ones balance when not moving.
Answer:

1994.7944465 miles
46390568.5227 miles
125 ft
Explanation:


The distance is 


Converting to inches

Converting to miles

The distance is 1994.7944465 miles

The distance is 46390568.5227 miles



The distance is 125 ft
Answer:
209.68 years
Explanation:
Let T be the half life.
t = 1 year
N = 99.67 % of No = 0.9967 No
Use the law of radioactivity
N = No x e ^(- λ t)
Where, λ is decay constant.
λ = 0.6931 / T
So,
0.9967 No = No x e^(- λ t)
0.9967 = e^(- λ t)
e^( λ t) = 1 / 0.9967 = 1.0033
λ t = 3.3 x 10^-3
(0.6931 x 1) / T = 3.3 x 10^-3
T = 209.68 years
Thus, the halflife is 209.68 years.
The law of reflection states that the angle of incidence is equal to the angle of reflection. Furthermore, the law of reflection states that the incident ray, the reflected ray and the normal all lie in the same plane.
hope this helps :)