A person travels distance πR along the circumference
2 answers:
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Refer to the diagram below.
This discussion operates under a basic analysis that overlooks air resistance and variations in the terrain the missile traverses.
Let V₀ be the launch velocity, at an angle θ to the horizontal.
The horizontal velocity component equals V₀ cosθ.
If the flight duration is
, then
where r represents the missile's range.
The time t at which the missile is at ground level is expressed by
where g signifies acceleration due to gravity.
t = 0 signifies the missile's launch. Thus
Consequently,
Typically, an angle of θ=45° is optimal for achieving maximum range, resulting in
This discussion applies more accurately to a scud missile than to a powered, guided missile.
Response:
Usually, θ=45°
This discussion operates under a basic analysis that overlooks air resistance and variations in the terrain the missile traverses.
Let V₀ be the launch velocity, at an angle θ to the horizontal.
The horizontal velocity component equals V₀ cosθ.
If the flight duration is
where r represents the missile's range.
The time t at which the missile is at ground level is expressed by
where g signifies acceleration due to gravity.
t = 0 signifies the missile's launch. Thus
Consequently,
Typically, an angle of θ=45° is optimal for achieving maximum range, resulting in
This discussion applies more accurately to a scud missile than to a powered, guided missile.
Response:
Usually, θ=45°