How far will a free falling object fall in 8.7 secs if it started from rest? Remember acceleration is negative for free fall. Do not use a negative number for "how far" the object fell.

Respuesta :

Answer:

h~=371.26m

Explanation:

when an object falls we use the equations of accelerated motion. There is only one that gives distance.

[tex]x = ut + \frac{1}{2} a {t}^{2} [/tex]

Since we have no initial velocity (started from rest) we can get rid of the (ut) term

where a we substitute g (gravitational acceleration, constant for given heights and almost 9.81m/s^2).

[tex]h = \frac{1}{2} g {t}^{2} = \frac{1}{2} \times 9.81 \times {8.7}^{2} = 371.26m[/tex]