Done For you Graphics

I have two same caliber projectiles, both weighing the same. If one is fired out of a gun at 2000 fps and the other one is dropped free at the exact same time and height as the gun, would they both hit the ground at the same time? A different variation of the question would state: If two projectiles, both same in diameter and configuration but of different weights, were fired at the same time and at the same velocity, would they both hit the ground at the same time?

In answer to your questions: It depends!

If you assume no air resistance (or if the experiment is done in a vacuum), then the answer will not depend upon the weight of the objects in question (or any other attribute of them, such as shape).

In vacuum, if the projectile fired out of the gun is fired along a line parallel to the ground, then both projectiles will hit the ground at the same time, regardless of the velocity of the fired projectile.

Actually, there is another level of complexity that could be taken into account: both will hit the ground at the same time only if the Earth's curvature can be ignored! If the fired projective is moving fast enough (or from a high enough height) to proceed far enough toward (or past) the horizon before it hits the ground, then the fired projectile will hit the ground later than the dropped projectile. (At a truly very fast speed of firing, the projectile may never land, simply falling along a curve that never reaches the surface of the curving Earth. Then the projectile would be in orbit. That's what the Space Shuttle is doing.)

If the experiment is done in air, then the shape and weight of the projectiles would matter to some extent. For instance, a projectile of large density would fall to Earth quicker than one of the same weight but lower density (larger volume). To take an extreme example, a feather weighing the same as a penny would obviously fall slowly to Earth compared to the penny.

If you assume no air resistance (or if the experiment is done in a vacuum), then the answer will not depend upon the weight of the objects in question (or any other attribute of them, such as shape).

In vacuum, if the projectile fired out of the gun is fired along a line parallel to the ground, then both projectiles will hit the ground at the same time, regardless of the velocity of the fired projectile.

Actually, there is another level of complexity that could be taken into account: both will hit the ground at the same time only if the Earth's curvature can be ignored! If the fired projective is moving fast enough (or from a high enough height) to proceed far enough toward (or past) the horizon before it hits the ground, then the fired projectile will hit the ground later than the dropped projectile. (At a truly very fast speed of firing, the projectile may never land, simply falling along a curve that never reaches the surface of the curving Earth. Then the projectile would be in orbit. That's what the Space Shuttle is doing.)

If the experiment is done in air, then the shape and weight of the projectiles would matter to some extent. For instance, a projectile of large density would fall to Earth quicker than one of the same weight but lower density (larger volume). To take an extreme example, a feather weighing the same as a penny would obviously fall slowly to Earth compared to the penny.

*We use the videos below to generate appointments for our sales team through paid social, display network, website pages, landing pages, etc. Feel free to use them however you would like!

I have two same caliber projectiles, both weighing the same. If one is fired out of a gun at 2000 fps and the other one is dropped free at the exact same time and height as the gun, would they both hit the ground at the same time? A different variation of the question would state: If two projectiles, both same in diameter and configuration but of different weights, were fired at the same time and at the same velocity, would they both hit the ground at the same time?

In answer to your questions: It depends!

If you assume no air resistance (or if the experiment is done in a vacuum), then the answer will not depend upon the weight of the objects in question (or any other attribute of them, such as shape).

In vacuum, if the projectile fired out of the gun is fired along a line parallel to the ground, then both projectiles will hit the ground at the same time, regardless of the velocity of the fired projectile.

Actually, there is another level of complexity that could be taken into account: both will hit the ground at the same time only if the Earth's curvature can be ignored! If the fired projective is moving fast enough (or from a high enough height) to proceed far enough toward (or past) the horizon before it hits the ground, then the fired projectile will hit the ground later than the dropped projectile. (At a truly very fast speed of firing, the projectile may never land, simply falling along a curve that never reaches the surface of the curving Earth. Then the projectile would be in orbit. That's what the Space Shuttle is doing.)

If the experiment is done in air, then the shape and weight of the projectiles would matter to some extent. For instance, a projectile of large density would fall to Earth quicker than one of the same weight but lower density (larger volume). To take an extreme example, a feather weighing the same as a penny would obviously fall slowly to Earth compared to the penny.

If you assume no air resistance (or if the experiment is done in a vacuum), then the answer will not depend upon the weight of the objects in question (or any other attribute of them, such as shape).

In vacuum, if the projectile fired out of the gun is fired along a line parallel to the ground, then both projectiles will hit the ground at the same time, regardless of the velocity of the fired projectile.

Actually, there is another level of complexity that could be taken into account: both will hit the ground at the same time only if the Earth's curvature can be ignored! If the fired projective is moving fast enough (or from a high enough height) to proceed far enough toward (or past) the horizon before it hits the ground, then the fired projectile will hit the ground later than the dropped projectile. (At a truly very fast speed of firing, the projectile may never land, simply falling along a curve that never reaches the surface of the curving Earth. Then the projectile would be in orbit. That's what the Space Shuttle is doing.)

If the experiment is done in air, then the shape and weight of the projectiles would matter to some extent. For instance, a projectile of large density would fall to Earth quicker than one of the same weight but lower density (larger volume). To take an extreme example, a feather weighing the same as a penny would obviously fall slowly to Earth compared to the penny.

Is a player's height or weight more critical in terms of jumping and shooting?

Now, this is not a simple question to answer in terms of Newton's laws. Newton can say that the player's weight will imply that the player will not be accelerated much by the force from the ball at the shot, but does that really matter when it comes to *making baskets consistently*? I doubt it, since practice would enable the less massive player to know (intuitively) exactly how to compensate for any troubling effect. Similarly, height may not matter. However, in a real game, it's not simply what you (the shot maker) is like, but what the defenders are like as well! I'm sure a taller player will have an advantage over a shorter player when it comes to shooting the ball over tall defenders! Weight may also be a factor in the tight spots (where you have to fight for a shot). These factors are not simply ranked from the point of view of the fundamental physics. (Maybe that's why you need to know more than physics to play basketball!).

Are we missing something? Or do you have something else in mind? Shoot us an email at partners@linkedselling.com and we'll hook you up with whatever you need!

© LinkedSelling 2018