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.
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.