Projectile Motion initial speed

AI Thread Summary
The discussion centers on the number of launch angles that can achieve the same range for an ideal projectile at a given initial speed. It is noted that in two-dimensional motion, there is only one angle (45 degrees) that maximizes range, while other angles can yield the same range, typically two. In three-dimensional motion, the conversation suggests there may be an infinite number of possible launch angles, depending on the definition of range. The need for clarification on the definition of range is also highlighted, indicating that interpretations may vary. Overall, the topic emphasizes the complexity of projectile motion and the conditions affecting launch angles.
jsr219
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For the initial speed of an ideal projectile, how many launch angles equal for the range of the projectile


-1

-2

-more than 2 but an infinite number of

-only one if the angle is 45 but other wise only 2

-an infinite number
 
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jsr219 said:
For the initial speed of an ideal projectile, how many launch angles equal for the range of the projectile -1

-2

-more than 2 but an infinite number of

-only one if the angle is 45 but other wise only 2

-an infinite number

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The Attempt at a Solution


In 2 dimensional motion. that is -only one if the angle is 45 but other wise only 2 but if you thinking of 3d then there are infinite possible paths* as shown in images shown by Spinnor.

*I am not 100% sure in 3d case(I have read very little about it) because it depends on what's definition of range final position vector - initial position vector(if so then my answer is wrong) or minimum distance between final and initial position (if so then my answer is correct). can anybody please confirm me what's range definition.
 
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