Solve for Initial Velocity: Football Field Goal Problem | No Air Resistance

In summary, a 2D dimension problem is a mathematical or scientific problem that involves two-dimensional space. Examples of 2D dimension problems include finding the area of a rectangle, calculating the trajectory of a projectile, and solving for coordinates on a graph. This type of problem differs from a 3D dimension problem, which takes into account all three dimensions. Some common techniques used to solve 2D dimension problems include algebraic equations, geometry formulas, and graphing methods. These problems have relevance in real life applications such as engineering, architecture, and computer graphics.
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Phy.Student
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Homework Statement



A football player kicks a field goal from a distance of 45m from the goalpost.
The football is launched at 35 degrees above horizontal.
What initial velocity is required so that the football just clears the goalpost crossbar that is 3.1m above the ground? ignore air resistance and dimension of ball.


Homework Equations


D = Vi(t) + 1/2(a) (t^2)

Vf^2 = Vi^2 + 2(a)(D)

Vf= Vi + (a)(t)


The Attempt at a Solution

 
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  • #2
It would be nice if you actually attempted a solution. But you know what? I will give you a clue. Start with the x component.
 

FAQ: Solve for Initial Velocity: Football Field Goal Problem | No Air Resistance

What is a 2D dimension problem?

A 2D dimension problem refers to a mathematical or scientific problem that involves two-dimensional space, meaning it only has length and width. In this context, the third dimension of depth is not considered.

What are some examples of 2D dimension problems?

Examples of 2D dimension problems include finding the area of a rectangle, calculating the trajectory of a projectile in a plane, and solving for the coordinates of a point on a graph.

How is a 2D dimension problem different from a 3D dimension problem?

A 2D dimension problem only considers two dimensions of space, while a 3D dimension problem takes into account all three dimensions of length, width, and depth. This means that a 2D problem has a simpler solution compared to a 3D problem.

What are some common techniques used to solve 2D dimension problems?

Some common techniques used to solve 2D dimension problems include using algebraic equations, geometry formulas, and graphing methods. These techniques involve breaking down the problem into smaller, more manageable steps and using mathematical principles to find a solution.

How are 2D dimension problems relevant in real life?

2D dimension problems are relevant in real life as they can be applied to various fields such as engineering, architecture, and computer graphics. For example, engineers use 2D dimension problems to design structures, while architects use them to create floor plans. In computer graphics, 2D dimension problems are essential for creating 2D animations and video games.

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