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I am told that a projectile lauched to the east of the Earth has a reach R. Is this the measure of the arc or of the chord joining the point of lauch and the point of fall ?
quasar987 said:I am told that a projectile lauched to the east of the Earth has a reach R. Is this the measure of the arc or of the chord joining the point of lauch and the point of fall ?
dextercioby said:It's the measure of the arc,or if u prefer fancy words,the lengh of the geodesic curve pasing through the 2 points...
However,the projectile's trajectory is not parabolic,as i hope you know...The projection of this curve onto the surface of the Earth should match the geodesical curve.
Daniel.
A projectile launched to the east of the earth refers to an object that is propelled or thrown in the eastward direction from the surface of the earth. This can include objects such as rockets, missiles, or even thrown objects like a baseball.
The reach (R) of a projectile launched to the east of the earth is the horizontal distance it can travel before hitting the ground. It is affected by factors such as the initial velocity, angle of launch, and air resistance.
The reach (R) of a projectile launched to the east of the earth can be calculated using the formula R = (v02sin2θ)/g, where v0 is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.
The factors that affect the reach (R) of a projectile launched to the east of the earth include the initial velocity of the projectile, the angle of launch, air resistance, and the acceleration due to gravity. Other factors such as wind speed and direction can also have an impact on the reach of the projectile.
Launching a projectile to the east of the earth is affected by the rotation of the earth, which provides an additional velocity in the eastward direction. This can result in a longer reach compared to launching the projectile to the west, where the rotation of the earth would act against the motion of the projectile, resulting in a shorter reach.