Times of flight for projectiles

In summary, the time it takes for a projectile to hit the ground is the same for both the x and y axis. This means that if you are given the range or a fixed point, the flight time will be the same in both directions. If this was not the case, it would imply that the projectile continued flying in one direction after the other had hit the ground.
  • #1
ThomasMagnus
138
0
Is the time it takes for a projectile to hit the ground the same for the x and y axis' ?

For example, if you are given the range of a projectile or told that it will hit a fixed point, will it have the same time of travel for x and y?

If you know that it hits a fixed Point or are given the range, I assume that all of these formulas will correctly solve for t and that it will be the same.

Vx=Dx/t

Dy=(Voy)(t) + 1/2at^2

Vfy= Voy + at

Is this correct?


Thanks
 
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  • #2
Yes, the flight time in both X and Y directions will be the same.

If it wasn't, it would imply it continued flying in one direction once the other had hit the ground - so the X has impacted the ground but the Y is still in the air. Silly isn't it.
 
  • #3
Thanks!
 

Related to Times of flight for projectiles

1. What is the definition of "times of flight for projectiles"?

The times of flight for projectiles refers to the duration of time that a projectile, such as a bullet or a ball, remains in the air from the moment it is launched until it hits the ground or a target.

2. How is the time of flight for projectiles calculated?

The time of flight for projectiles can be calculated using the equation t = 2v*sin(theta)/g, where t is the time of flight, v is the initial velocity, theta is the angle of launch, and g is the acceleration due to gravity.

3. What factors affect the time of flight for projectiles?

The time of flight for projectiles can be affected by factors such as the initial velocity, angle of launch, air resistance, and the force of gravity.

4. Can the time of flight for projectiles be increased?

Yes, the time of flight for projectiles can be increased by increasing the initial velocity or by launching the projectile at a higher angle.

5. How is the time of flight for projectiles used in real-world applications?

The time of flight for projectiles is used in various fields, such as ballistics and sports, to calculate the trajectory and distance of the projectile. It is also used in military applications to determine the range and accuracy of weapons.

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