Question
Solve the variation problems in Exercises 93–98.The distance that a body falls from rest is directly proportional to the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds?
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This can be written as: \[x = kt^2\] where \(x\) is the distance, \(k\) is the constant of proportionality, and \(t\) is the time. Show more…
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Solve the variation problems in Exercises 93–98. The distance that a body falls from rest is directly proportional to the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds?
Solve each of the following problems. The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 144 feet in 3 seconds, how far will it fall in 5 seconds?
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Direct and Inverse Variations
Solve each problem by writing a variation model. An object in free fall travels a distance $s$ that is directly proportional to the square of the time $t$. If an object falls $1,024$ feet in 8 seconds, how far will it fall in 10 seconds?
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