Question

If a penny is dropped from a height building window from rest and takes 1.1 seconds to hit the ground, how high up is the window?

Option 1: 4.9 meters
Option 2: 5.6 meters
Option 3: 9.8 meters
Option 4: 10.8 meters

Answer 1

Using the free fall formula, the height of the window from which a penny was dropped and took 1.1 seconds to hit the ground is approximately 5.6 meters.

Step-by-step explanation:

To calculate the height of the window from which a penny is dropped from a building and takes 1.1 seconds to hit the ground, we can use the formula for the distance covered in free fall:

s = ut + ½gt²

Where:
s = distance (height of the window)
u = initial velocity (since the penny is dropped, u = 0 m/s)
t = time taken to fall (t = 1.1 s)
g = acceleration due to gravity (g = 9.8 m/s²)

Substituting these values into the formula, we get:

s = (0 m/s)(1.1 s) + ½(9.8 m/s²)(1.1 s)²

s = 0 m + ½(9.8 m/s²)(1.21 s²)

s = 5.94 m

Since this value is not precisely matching any of the options, we look for the closest one, which is 5.6 meters. Thus, the window is approximately 5.6 meters high.