Initial Velocity of a Projectile

In summary, a ball is shot from a slingshot and travels 130 meters before clearing a 10 meter fence and landing 10 meters behind it. The problem involves multiple unknown variables and can be divided into two parts, one up to the fence and one after the fence. However, the initial velocity for the second part should be the same as the final velocity from the first part.
  • #1
AngeliaGW
6
0

Homework Statement



A ball is shot from a slingshot and clears a 10 meter fence 130 meters from the point of being flung and lands 10 meters behind the fence. What is the initial velocity of the ball? Assume the ball was caught at the same level it was kicked (delta Y=0).


Homework Equations



Delta Y=Voyt+1/2at^2
Delta Y=Vfy^2-Voy^2/at
Delta X=Voxt

The Attempt at a Solution



I'm unsure how to solve this problem as it involves multiple unknown variables. I think it involves 2 separate problems, one that is up to the fence and one that is after the fence. So 130=Voxt and 140=Voxt. For Delta Y, it would be Voy=4.9t. Please help :(
 
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  • #2
Is it possible to assume that right when the ball passes the fence, that the initial velocity is 0 if I divide the problem into two? (One up to the fence, and one after the fence)
 
  • #3
AngeliaGW said:
Is it possible to assume that right when the ball passes the fence, that the initial velocity is 0 if I divide the problem into two? (One up to the fence, and one after the fence)
No.

You can divide it in two, but the initial velocity for the second part should be the same as the final velocity from the first part.
 

1. What is initial velocity of a projectile?

The initial velocity of a projectile is the speed and direction at which it is launched or thrown. It is the velocity of the projectile at the beginning of its flight, before any external forces such as gravity or air resistance act upon it.

2. How is initial velocity calculated?

The initial velocity of a projectile can be calculated using the formula: v0 = v - gt, where v0 is the initial velocity, v is the final velocity, g is the acceleration due to gravity, and t is the time the projectile is in motion.

3. Does initial velocity affect the trajectory of a projectile?

Yes, the initial velocity of a projectile has a significant impact on its trajectory. A higher initial velocity will result in a longer horizontal distance traveled and a flatter trajectory, while a lower initial velocity will result in a shorter distance and a steeper trajectory.

4. How can initial velocity be changed?

The initial velocity of a projectile can be changed by altering the angle at which it is launched, as well as the force and speed used to launch it. Other factors such as air resistance and gravity can also affect the initial velocity of a projectile.

5. Why is understanding initial velocity important in physics?

Understanding the initial velocity of a projectile is important in physics because it allows us to predict the motion and behavior of objects in the air. It also helps us to analyze and understand the effects of external forces on the trajectory of a projectile.

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