If a diver jumps 4 meters in the air on a diving board, then falls to the pool below, and the dive total time is 6 seconds. What is the height of platform above the ground?
Don't you want to know the height above the WATER?
yes, I guess that would be it.
To find the height of the platform above the ground, we need to calculate the time it takes for the diver to fall from the platform to the pool.
We can use the principles of free fall motion to determine this time. In free fall, an object accelerates due to gravity. The acceleration due to gravity near the surface of the Earth is approximately 9.8 meters per second squared (m/s^2).
The time it takes for the diver to fall from the platform to the pool can be found using the following formula:
t = sqrt((2 * h) / g)
Where:
t is the time in seconds
h is the height in meters
g is the acceleration due to gravity (9.8 m/s^2)
In this case, we need to solve for h, the height of the platform. We know that the total time of the dive is 6 seconds and the diver jumps 4 meters in the air. Let's plug in these values into the equation:
6 = sqrt((2 * h) / 9.8)
To solve for h, we need to isolate it on one side of the equation. First, let's square both sides of the equation:
36 = (2 * h) / 9.8
Next, we can multiply both sides of the equation by 9.8 to get rid of the denominator:
352.8 = 2 * h
Finally, divide both sides of the equation by 2 to solve for h:
h = 176.4 meters
Therefore, the height of the platform above the ground is approximately 176.4 meters.