Question

An object falls 18ft in 2 seconds. Knowing the distance varies directly with the square of the time of the fall how long does it take an object to fall 79 feet

Answer 1

t=4.19 seconds

Explanation:

Distance varies directly with the square of the time of the fall

It means,

D=kt^2

18ft in 2 seconds

D=kt^2

18=k*2^2

18=4k

k=18/4

=9/2

k=9/2

D=kt^2

D=79feet

79=9/2t^2

t^2=79÷9/2

t^2=79×2/9

=158/9

t=√158/√9

t=12.57/3

t=4.19 seconds