On a 28°C summer day, you decide to go cliff diving with some friends. Your friend jumps first and you notice that it takes 2 seconds for you to hear them splash into the water below. How high is the cliff? Using the quadratic formula.

Answer 1

To find the height of the cliff, we can use the equation:

h = (1/2) * g * t^2

where:
h = height of the cliff
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time it takes for the sound to travel (2 seconds in this case)

Rearranging the equation, we get:

h = (1/2) * g * t^2
h = (1/2) * 9.8 * (2)^2
h = (1/2) * 9.8 * 4
h = 19.6

Therefore, the height of the cliff is 19.6 meters.