Question

A small pebble falls off of a bridge. If the pebble falls for 3.4 s before it hits the water beneath the bridge, then how high is the bridge above the water?

Answer 1

To calculate the height of the bridge above the water, we can use the equation of motion for freefall. The bridge is approximately 60.1 meters above the water.

Step-by-step explanation:

To calculate the height of the bridge above the water, we can use the equation of motion for freefall:

h = (1/2)gt^2

Where h represents the height, g is the acceleration due to gravity (9.8 m/s^2), and t is the time of fall. Given that the pebble falls for 3.4 seconds, we can substitute this value into the equation:

h = (1/2)(9.8 m/s^2)(3.4 s)^2

Simplifying the equation, we find:

h = (1/2)(9.8 m/s^2)(11.56 s^2)

h = 60.0864 m

Therefore, the bridge is approximately 60.1 meters above the water.