Projectile motion maximum range

AI Thread Summary
For a projectile to achieve maximum range, the vertical displacement (delta dy) must be zero, indicating that the projectile lands at the same height from which it was launched. The horizontal velocity (vx) should be maximized, while the vertical velocity (vy) does not need to be zero. The discussion emphasizes that launching at an angle of 45 degrees typically yields the maximum range, but if the launch angle is unknown, a lower delta y can lead to an increased range. Understanding the relationship between delta y and delta x is crucial for analyzing projectile motion. Overall, the key takeaway is that achieving maximum range involves careful consideration of the launch angle and vertical displacement.
Willian93
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Homework Statement


a projectile is launched from level ground at some angle to the horinzontal. Which of the following must be zero for a projectile to achieve maximum range?

vx, vy, delta dx, delta dy or a


Homework Equations




The Attempt at a Solution


i thought to achieve maximum range, the vx component has to be really large, maybe vy is zero. But the answer was delta dy, not sure how it works
 
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Could you elaborate what the notation values are?

I'm familiar with the equations, but not your notation.

Jared
 
I'm assuming that since you do not have an angle, the problem is going on the basis that as you decrease your delta y, delta x increases. Think like this. Maximum range is always at 45 degrees, however since we don't know if the projectile was launched at 45 degrees, we must simply assume that the if delta y gets lower (thus a lower angle) the range will increase.
 
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