Answer:
6 seconds
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.
