Q4PE - College Physics (Urone)

Question

American football is played on a $\mathbf{100}\mathbf{-}\mathbf{yd}$ long field, excluding the end zones. How long is the field in meters? (Assume that  $\mathbf{1}\mathbf{ }\mathbf{meter}$ equals $\mathbf{3}\mathbf{.}\mathbf{281}\mathbf{ }\mathbf{feet}$ .)

Step-by-Step Solution

Answer

The length of the football field is  91 m . 

Step 1: State given data

Length of American football field = 100 yards.

Step 2: State useful conversions

The conversion relation of yard and feet is

  $\mathbf{1}\mathbf{ }\mathbf{yard}\mathbf{=}\mathbf{3}\mathbf{ }\mathbf{feet}$

The conversion relation of meter and feet is

 $\mathbf{1}\mathbf{ }\mathbf{m}\mathbf{=}\mathbf{3}\mathbf{.}\mathbf{281}\mathbf{ }\mathbf{feet}$

So,

1 foot = 0.304 m.

Step 3: Calculate length of football field in meters

The conversion relation of yard and meter is,-

$$\begin{gathered} 1 \mathrm{yard}=3 \mathrm{feet} \\ =3\times 0.304 \mathrm{m} \\ =0.91 \mathrm{m} \end{gathered}$$

Therefore, the length of the football is,-

$$\begin{gathered} 100 \mathrm{yard}=\left(100 \mathrm{yard}\right)\times \frac{0.91 \mathrm{m}}{1 \mathrm{yard}} \\ =91 \mathrm{m} \end{gathered}$$

Hence, the length of the football field is  91 m.