A teenager accidentally falls off a 10 m high platform diving board. His friend whips out his camera and takes a picture when the teenager is halfway to the water below to commemorate the embarrassing event and post it on Facebook. How many seconds after the teenager fell off did his friend take the picture?
h=gt²/2
t=sqrt(2•5/g)=1.01 s
To determine the time it takes for the teenager's friend to take the picture, we need to find out how long it takes for the teenager to fall halfway down to the water.
We can use the laws of motion and the concept of free-fall to calculate this time. The equation to calculate the time it takes for an object to fall from a given height is:
t = √(2h/g)
Where:
t is the time in seconds
h is the height in meters
g is the acceleration due to gravity, which is approximately 9.8 m/s^2 on Earth.
In this case, the height (h) is 10 meters. Plugging in the values, we have:
t = √(2 * 10 / 9.8)
t ≈ √(20 / 9.8)
t ≈ √2.04
t ≈ 1.43 seconds
Therefore, it takes approximately 1.43 seconds for the teenager to fall halfway down to the water.
Since the friend takes the picture at this point, the answer is 1.43 seconds.