0
The path of this projectile launched from a height y0 has a range d.
In physics, a projectile launched with specific initial conditions in a uniform gravity field will have a predictable range. As in Trajectory of a projectile, we will use:
- g: the gravitational acceleration-usually taken to be 9.80 m/s2 (32 f/s2) near the Earth's surface
- θ: the angle at which the projectile is launched
- v: the velocity at which the projectile is launched
- y0: the initial height of the projectile
- d: the total horizontal distance travelled by the projectile
When neglecting air resistance, the range of a projectile will be
If (y0) is taken to be zero, meaning the object is being launched on flat ground, the range of the projectile will then simplify toso to increase the range θ shoud vary from 0 to 45 and after 45 it starts decreasing.
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ProfessorAs the range of a projectile increases, the angle at which it is launched must also increase to compensate for the increased horizontal distance traveled. This is because a higher launch angle allows the projectile to spend more time in the air, allowing gravity to act upon it for a longer duration and help it cover the greater distance.
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