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The distance, d, that an object foto is directly proportional to the square of the time, t, it has been in free fall. An object that has been in free fall for 8 seconds has fallen 1024 feet. Determine the distance the object has fallen if it has been falling for 2 seconds

Respuesta :

Answer:

d = 64 feet

Step-by-step explanation:

Given that d is directly proportional to t² then the equation relating them is

d = kt² ← k is the constant of proportion

To find k use the condition t = 8 , d = 1024 , then

1024 = k × 8² = 64k ( divide both sides by 64 )

16 = k

d = 16t² ← equation of proportion

When t = 2 , then

d = 16 × 2² = 16 × 4 = 64 feet

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