Explanation:
a) Given in the y direction (taking down to be positive):
Δy = 50 m
v₀ = 0 m/s
a = 10 m/s²
Find: t
Δy = v₀ t + ½ at²
50 m = (0 m/s) t + ½ (10 m/s²) t²
t = 3.2 s
b) Given in the x direction:
v₀ = 12 m/s
a = 0 m/s²
t = 3.2 s
Find: Δx
Δx = v₀ t + ½ at²
Δx = (12 m/s) (3.2 s) + ½ (0 m/s²) (3.2 s)²
Δx = 38 m
Answer:
h = 0.362 m
Explanation:
The pressure equation with depth is
P₂ =
+ρ g h
The gauge pressure is
P2 -
= ρ g h
This is the pressure that muscles can create
P₂ -
= 3740 Pa
But still the person needs a small pressure for the transfer of gases, so
P₂ -
= 3740 - 188 = 3552 Pa
This is the maximum pressure difference, where the person can still breathe,
Let's clear the height
h = 3552 / ρ g
h = 3552 / (1000 9.8)
h = 0.362 m
This is the maximum depth where the person can still breathe normally.
Answer:
final temperature will be 0 degree C
Total amount of ice will be

total amount of water

Explanation:
After thermal equilibrium is achieved we can say that
Heat given by water = heat absorbed by ice cubes
so we will have
Heat given by water to reach 0 degree C



heat absorbed by ice cubes to reach 0 degree



so we will have

so here we can say that few amount of water will freeze here to balance the heat



so final temperature will be 0 degree C
Total amount of ice will be


total amount of water


Answer: The elimination of seasonal variations
Explanation:
Since the cosmic catastrophic event which occurred led to the tilt of the Earth's axis relative to the plane of orbit to increase from 23.5° to 90°, the most obvious effect of this change would be the elimination of seasonal variations.
It should be noted that seasonal variation refers to the variation in a time series that's within a year which is repeated. The cause of seasonal variation can include rainfall, temperature, etc.