Consider the projectile launched at initial velocity V at angle θ relative to the horizontal.
Neglect wind or aerodynamic resistance.
The initial vertical velocity is Vsinθ.
When the projectile reaches its maximum height of h, its vertical velocity will be zero.
If the time taken to attain maximum height is t, then
0 = Vsinθ - gt
t = (Vsinθ)/g, where g = acceleration due to gravity.
The horizontal component of launch velocity is Vcosθ. This velocity remains constant because aerodynamic resistance is ignored.
The time to travel the horizontal distance D is twice the value of t.
Therefore
D = Vcosθ*[(2Vsinθ)/g]
= (2V²sinθ cosθ)/g
= (V²sin2θ)/g
In order for D (horizontal distance) to be maximum,

That is,

Because

, therefore cos(2θ) = 0.
This is true when 2θ = π/2 => θ = π/4.
It has been shown that the maximum horizontal traveled can be attained when the launch angle is π/4 radians, or 45°.
Blue, blue-white, Yellow-white, yellow, yellow-orange, and red. Hope this helps.
Answer:
-Increase in temperature: increase
-Decrease in temperature: decrease
-Increase in volume: increase
-Decrease in volume: decrease
-Increase in pressure: increase
-Decrease in pressure: decrease
Explanation:
-Increase in temperature:
● Molecules gain kinetic energy and move fast thus increasing distance
-Decrease in temperature:
● Kinetic energy of molecules decrease so they have smaller distance
-Increase in volume:
● Molecules have more space to move around so distance increase
-Decrease in volume:
● Less space, molecules collide with each other because of decreased distance thus increasing pressure
-Increase in pressure
● Molecules collide with each other and the walls of container increasing pressure so molecules move faster and it increases distance
-Decrease in pressure:
● Molecules collide with each other and walls of container less frequently so distance between molecules decrease
Issac newton made the laws of gravity
Answer:
3.41 × 10^-6
It is because 341 has to be a decimal and the zeros you see there...always count them if the zero has the decimal after it it will be a negative. Why 10 to the power of Negative 6? Count the 6 zeros