Aldrin jumps from cliff into water below. Height of cliff is 7.97 m, how long will it take Aldrin to hit the water?
To determine how long it will take for Aldrin to hit the water, we can use the basic principles of motion and the equation for height in free fall. The equation we will be using is:
h = (1/2) * g * t^2
Where:
h = height of the cliff (7.97 m)
g = acceleration due to gravity (9.8 m/s^2)
t = time taken to hit the water (unknown)
We need to rearrange the equation to solve for t:
t^2 = (2 * h) / g
Now we can plug in the given values:
t^2 = (2 * 7.97) / 9.8
t^2 ≈ 1.6276
To find t, we take the square root of both sides of the equation:
t ≈ sqrt(1.6276)
t ≈ 1.28 seconds
Therefore, it will take Aldrin approximately 1.28 seconds to hit the water after jumping from a cliff with a height of 7.97 meters.