1. What is the total distance covered By a soccer player who runs diagonally Acr
ID: 3008127 • Letter: 1
Question
1. What is the total distance covered
By a soccer player who runs diagonally
Across a 100 yd. × 50 yd. pitch
From one corner to the other?
2. A player runs in a line from the
center circle to a corner of the
pitch. What total distance has the
player run? How does this distance
compare with your calculation (in
question 1) of the total distance of
the diagonal line-segment length
of the pitch?
3. A soccer coach requires that the
team warm up by jogging the
perimeter of the fi eld before every
game. If the team jogs two laps
around the perimeter, what is total
distance that each player runs?
Explanation / Answer
1.
Total distance covered is length of diagonal of pitch which is:sqrt{100^2+50^2}=50sqrt{5} yards
2.
The distance travelled here is half of the distance travelled in previous part as he travels only half the length so 25sqrt{5}yards
3.
Perimeter is, 2(50+100)=300 yards
Two laps means perimeter is covered twice so total distance is 600 yards.
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