SOLUTION: 4. The distance a body falls from rest (neglecting air resistance) varies directly as the square of the time it falls. If an object drops 64 feet in 2 seconds, how many seconds wil

Question 1174184: 4. The distance a body falls from rest (neglecting air resistance) varies directly as the square of the time it falls. If an object drops 64 feet in 2 seconds, how many seconds will it take an object to reach the sea if it is dropped from a plane 2500 feet above the sea level? (show complete solution thanks!)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
4. The distance a body falls from rest (neglecting air resistance) varies directly as the square of the time it falls.
d = kt^2 where
d = distance after t time
t = time
k = constant
If an object drops 64 feet in 2 seconds,
Find k
k*2^2 = 64
k = 64/4
k = 16
the equation now d = 16t^2
how many seconds will it take an object to reach the sea if it is dropped from a plane 2500 feet above the sea level? (show complete solution thanks!)
16t^2 = 2500
t^2 = 2500/16
t^2 = 156.25
t =
t = 12.5 seconds
RELATED QUESTIONS
4. The distance a body falls from rest (neglecting air resistance) varies directly as the (answered by ikleyn)

Neglecting air resistance, the distance an object falls from rest varies directly with... (answered by Boreal)

Disregarding wind resistance, the distance a body falls from rest varies directly as the... (answered by Mathtut)

Variation Problem Disregarding wind resistance, the distance a body falls from rest... (answered by Earlsdon)

The distance a body falls from rest varies directly as the square of the time of falls. (answered by ewatrrr)

The distance of a body falls from rest varies directly as the square of the time. If a... (answered by Alan3354)

The distance that an object falls from rest, when air resistance is negligible, varies... (answered by ikleyn)

The distance that a freely falling body falls varies directly as the square of the time... (answered by Fombitz)

The distance a body falls from rest is directly proportional to the square of the time... (answered by ikleyn)