The distance s that an object falls is directly proportional

Question

The distance s that an object falls is directly proportional to the square of the time t of the fall. If an object falls 16 feet in 1 second, how far will it fall in 2 seconds? How long will it take an object to fall 144 feet 

Answer 1

 

 D = kT^2

 

16 = =k(1)^2

 

16 = k(1)

 

16 = k

 

 

D = 16t^2

 

For t=2, D = 16*2^2 = 16*4 = 64

 

 

144 = 16*t^2

9 = t^2

 

t = 3