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the distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. an object falls 39.2 meters in 2 seconds. find the distance the object falls in 3 seconds.

Sagot :

The distance falls by the object in 3 seconds is 88.2 meters

The distance that an object falls when it is dropped is directly proportional to the square of the amount of time

Consider the distance as d and the time as t

Then the relationship will be

d ∝ t^2

d = kt^2

The distance falls in 2 seconds = 39.2 meters

Substitute the values in the equation

39.2 = k × 2^2

39.2 = 4k

k = 39.2 /4

k = 9.8

When the time = 3 seconds

The distance = 9.8 × 3^2

= 9.8 × 9

= 88.2 meters

Therefore, the object fall 88.2 meters in 3 seconds

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