Throwing a Ball Through a Window: Finding the Optimal Angle

In summary, the conversation discusses a problem involving a boy throwing a ball through a window at a certain distance and height. The initial speed and acceleration of the ball are given and the question is how to determine the range of initial angles that will allow the ball to pass through the window. The conversation also includes a link to a diagram for reference.
  • #1
r1luher0
4
0
SoRry But I Have An a PrOblem To start WIth this...

A boy is at a distance d = 6m from the base of a building attempts to throw a ball through a window size that H = 90cm at a height h = 8m.
if the ball's initial speed is v0 = 15m / s,
determine the range of initial angles Ø0 allowing the ball passes through the window. (acceleration of the ball is 9.81 m / s ^2 vertical down)

How Can I DetErmine the Angles??

http://img411.imageshack.us/img411/5928/123gs.jpg

ThanKs For The help!
 
Last edited by a moderator:
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  • #2
r1luher0 said:
SoRry But I Have An a PrOblem To start WIth this...

A boy is at a distance d = 6m from the base of a building attempts to throw a ball through a window size that H = 90cm at a height h = 8m.
if the ball's initial speed is v0 = 15m / s,
determine the range of initial angles Ø0 allowing the ball passes through the window. (acceleration of the ball is 9.81 m / s ^2 vertical down)

How Can I DetErmine the Angles??

http://img411.imageshack.us/img411/5928/123gs.jpg

ThanKs For The help!

Welcome to the PF. Please show us the kinematic equations that you will use to solve this type of problem. Is the horizontal velocity of the ball constant or varying? How about the vertical velocity of the ball?
 
Last edited by a moderator:

Related to Throwing a Ball Through a Window: Finding the Optimal Angle

1. What is the optimal angle for throwing a ball through a window?

The optimal angle for throwing a ball through a window depends on a few different factors, such as the distance between the thrower and the window, the type of window, and the speed and trajectory of the ball. Generally, a lower angle (around 30-45 degrees) is more likely to result in a successful throw.

2. How do you determine the optimal angle for throwing a ball through a window?

To determine the optimal angle, you can use mathematical equations and principles such as the laws of motion and projectile motion. You can also use computer simulations or conduct experiments to collect data and analyze the results to find the best angle.

3. Does the type of window affect the optimal angle for throwing a ball through it?

Yes, the type of window can affect the optimal angle. For example, a window with a larger surface area may require a lower angle compared to a smaller window. Additionally, the material and thickness of the window can also impact the optimal angle.

4. Are there any other factors that can affect the optimal angle for throwing a ball through a window?

Yes, there are several other factors that can affect the optimal angle, such as the weight and size of the ball, air resistance, and any external forces (such as wind) acting on the ball. The thrower's skill and technique can also play a role in finding the optimal angle.

5. Can the optimal angle for throwing a ball through a window be applied to other situations?

Yes, the principles used to determine the optimal angle for throwing a ball through a window can be applied to other situations involving projectiles, such as throwing a ball through a hoop or hitting a target with a projectile. However, the specific optimal angle may vary depending on the specific circumstances of the situation.

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