An object in free fall travels a distance s that is directly proportional to the square of the time t. If an object falls 960 feet in 8 seconds, how far will it fall in 11 seconds?

Respuesta :

Answer:

1815 feet

Explanation:

According to the question,

[tex]s\propto t^2[/tex]

[tex]s = kt^2[/tex]    (k is an arbitrary constant)

[tex]k = \dfrac{s}{t^2}[/tex]

[tex]\dfrac{s_1}{t_1^2} = \dfrac{s_2}{t_2^2}[/tex]

[tex]s_2 = s_1\left(\dfrac{t_2}{t_1}}\right)^2 = 960\times\left(\dfrac{11}{8}\right)^2 = 1815\text{ feet}[/tex]