Question

1. in 1927, babe ruth was a baseball player for the ny yankees, and hit 60 home runs. the distance between each base is 90 ft. if a player runs to all 4 bases, it makes a home run.

Explanation:

Problem 13 (Unit Conversion: 2.7 km/hour to miles/year)

Step 1: Recall conversion factors

We know that \( 1 \) kilometer \( = 0.621371 \) miles and \( 1 \) year \( = 8760 \) hours (assuming a non - leap year).

Step 2: Convert km/h to miles/h

To convert \( 2.7\space km/h \) to miles per hour, we multiply by the conversion factor for kilometers to miles. So, \( 2.7\space km/h\times0.621371\space\frac{miles}{km}=1.6777\space miles/h \) (rounded to four decimal places).

Step 3: Convert miles/h to miles/year

Now, to convert from miles per hour to miles per year, we multiply by the number of hours in a year. So, \( 1.6777\space miles/h\times8760\space h/year = 14696.652\space miles/year \) (rounded to three decimal places).

Step 1: Determine the distance per home run

In baseball, a home run requires running around 4 bases. The distance between each base is \( 90\space ft \), so the distance for one home run is \( 4\times90 = 360\space ft \).

Step 2: Calculate the total distance for 60 home runs

If Babe Ruth hit 60 home runs, the total distance \( d \) is the distance per home run times the number of home runs. So, \( d=360\space ft/home\space run\times60\space home\space runs = 21600\space ft \). If we want to convert this to miles (since \( 1\space mile = 5280\space ft \)), we divide by 5280: \( \frac{21600}{5280}\approx4.09\space miles \) (rounded to two decimal places).

Answer:

Approximately \( 14696.65\space miles/year \) (or more precisely depending on the level of rounding during steps)

Problem 14 (Distance Calculation for Home Runs)