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The distance, d, that an objects falls 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 7 seconds has fallen 784 feet. Determine the distance the object has fallen if it has been falling for 5 seconds.

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cutiedani
Ok so hope this helps! But what u would do is make a proportion... you would do 7/784 then do 5/X then cross multiply and divide.
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Distance covered by the object will be 80 feet.

    Given in the question,

  • Distance 'd' that an object fall is directly proportional to the time 't' in free fall.

So the relation between distance covered and time will be,        

d ∝ t²

d = kt² [k = Proportionality constant]

For d = 784 feet and t = 7 seconds,

784 = (7)²k

k = 16

Therefore, equation will be,

d = 16t

Now we can calculate the distance traveled by the object in 5 seconds.

d = 16 × 5

d = 80 feet

   Therefore, distance covered by the object will be 80 feet.

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