Question

How long will it take an object dropped out a window to fall 176.4 meters?

Answer 1

6 seconds

Step-by-step explanation:

The formula for free fall is:

h = 1/2gt^2

We know that the height is 176.4 meters. We also know that on Earth, gravity is 9.8 m/s^2.

h=176.4

g=9.8

Substitute these values into the formula.

176.4=1/2(9.8)*t^2

Multiply 9.8 and 1/2

176.4=4.9*t^2

t^2 and 4.9 are being multiplied. The opposite of multiplication is division. Divide both sides by 4.9

176.4/4.9=4.9*t^2/4.9

176.4/4.9=t^2

36=t^2

t is being squared. The opposite of squared is the square root. Take the square root of both sides.

√36=√t^2

√36=t

6=t

t=6 seconds

It will take 6 seconds for the object to fall 176.4 meters.

Answer 2

6 seconds

Step-by-step explanation:

`d=v_ot+(1)/(2)at^2`

Since the object is being dropped out of the window, it has no initial velocity.

`176.4=(1)/(2)(9.8)t^2 \\\\t^2=36 \\\\t=6\text{ seconds}`

Hope this helps!