Answer:
e) 0.099
Explanation:
For an adiabatic expansion:

where
P1 is the initial pressure
P2 is the final pressure
V1 is the initial volume
V2 is the final volume
is the adiabatic index (which is
for an ideal monoatomic gas
In this problem, we have
since the volume increases by a factor 4
We can re-write the equation to find by what factor the pressure changes:

Answer
D. The average speed is 2.5 meters/second, and the average velocity is 0 meters/second.
The difference between speed and velocity is that, speed is a scalar quantity while velocity is a vector quantity.
Average speed = total distance/Total time
= (150 + 150) / (2×60)
= 300/120
= 2.5 m/s
Average velocity = Total displacement/ Total time
= (150 + -150) / (2 × 60)
= 0/120
= 0 m/s
Its to blury for me to see it
There are several information's already given in the question. Based on those given information's the answer can be easily deduced.
First angle of depression = 18°33'
= [18 + (33/60)] degree
= 18.55 degrees
Second angle of depression = 51°33'
= [51 + (33/60)] degrees
= 51.55 degrees
Height of the lighthouse = 200 feet
Then
Distance traveled by the boat from when it
was first noticed until it stopped = (200/tan 18.55) - (200/tan 51.55)
= (200/0.3356) - (200/1.2594)
= 594.95 - 158.81
= 436.14 feet
I hope the procedure is clear enough for you to understand.