The terminal velocity of a skydiver is reached typically about 10-12 seconds into a dive. The square of the terminal velocity of a skydiver (v) is directly proportional to the skydiver's weight (w) and inversely proportional to the skydiver's ground-facing surface area (A). Write an equation that models this situation. Use k for the constant of proportionality. Suppose Christy weighs 60 kilograms and has an approximate downward-facing area of 0.18 square meters. Last week, Christy went skydiving and the terminal velocity was measured as 241 kilometers per hour. If another person goes skydiving under similar conditons and they weigh 82 kilograms with a ground-facing surface area of 0.33 square meters, what would be their terminal velocity? kilometers per hour {Give at least 3 decimal place accuracy}

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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The terminal velocity of a skydiver is reached typically about 10-12 seconds into a
dive.
The square of the terminal velocity of a skydiver (v) is directly proportional to the
skydiver's weight (w) and inversely proportional to the skydiver's ground-facing
surface area (A).
Write an equation that models this situation. Use k for the constant of proportionality.
Suppose Christy weighs 60 kilograms and has an approximate downward-facing area of 0.18 square meters.
Last week, Christy went skydiving and the terminal velocity was measured as 241 kilometers per hour.
If another person goes skydiving under similar conditons and they weigh 82 kilograms with a ground-facing
surface area of 0.33 square meters, what would be their terminal velocity?
kilometers per hour {Give at least 3 decimal place accuracy}
Transcribed Image Text:The terminal velocity of a skydiver is reached typically about 10-12 seconds into a dive. The square of the terminal velocity of a skydiver (v) is directly proportional to the skydiver's weight (w) and inversely proportional to the skydiver's ground-facing surface area (A). Write an equation that models this situation. Use k for the constant of proportionality. Suppose Christy weighs 60 kilograms and has an approximate downward-facing area of 0.18 square meters. Last week, Christy went skydiving and the terminal velocity was measured as 241 kilometers per hour. If another person goes skydiving under similar conditons and they weigh 82 kilograms with a ground-facing surface area of 0.33 square meters, what would be their terminal velocity? kilometers per hour {Give at least 3 decimal place accuracy}
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