Step-by-step explanation:
It is given that, the distance(d) that a dropped object falls in t seconds is given by the following equation as :
[tex]\dfrac{d}{16}=t^2[/tex]............(1)
Where
d is the distance (in feet)
t is time (in seconds)
We need to find the time taken by the object to fall 64 feets. Put the value of d = 64 feet in equation (1) as :
[tex]\dfrac{64}{16}=t^2[/tex]
[tex]t^2=4[/tex]
t = 2 seconds
So, the object will take 2 seconds to fall 64 feets. Hence, this is the required solution.
