Question

Starting from rest, a freely falling object falls 125 meters in?

Answer 1

Using the kinematic equation for free fall, it takes approximately 5.05 seconds for an object starting from rest to fall 125 meters under Earth's gravity with no air resistance.

Step-by-step explanation:

Calculating Fall Time for an Object in Free Fall

To solve for the time it takes for a freely falling object to fall 125 meters starting from rest, we apply the kinematic equation for uniformly accelerated motion:

s = ut + 0.5at^2

Where:

s is the distance fallen

u is the initial velocity (0 m/s because the object starts from rest)

a is the acceleration due to gravity (9.81 m/s² on Earth)

t is the time in seconds

Substituting the given values and solving for t, we have:

125 = 0 + 0.5 * 9.81 * t^2

Rearranging and solving for t:

t^2 = (2 * 125) / 9.81t^2 ≈ 25.48t ≈ 5.05 seconds

Therefore, a freely falling object will take approximately 5.05 seconds to fall 125 meters, assuming there is no air resistance.

Answer 2

5.05 sec

Step-by-step explanation:

h = 1/2gt²

solve for t:

t² = (2h)/g

t = √(2h)/g = √((2)(125 m)) / (9.8 m/s²) = 5.05 s