Question

If an object starting from rest falls 5.7 seconds how far does it fall

Answer 1

Kinematic question!
Start with your knowns!


`t = 5.7s \\ v0 = 0 (m)/(s) \\ a = - 9.8 \frac{m}{ {s}^(2) }`
we want to find x!

the only kineamtic that works with this info is the third!

`x = v0 * t + (1)/(2) * a * {t}^(2)`
so we plug in our values and get

`x = 0 + (1)/(2) * ( - 9.8 \frac{m}{ {s}^(2) } ) * ( {(5.7s)}^(2) )`
this'll equal out to -159.2 meters.

our units equal out, so we know our answer is correct!