Final answer:
The velocity of a 65 kg person diving into the water from a 10 m platform, assuming they step off the platform from rest, is approximately 14 m/s.
Step-by-step explanation:
To find the velocity of a person diving into the water from a 10 m platform, we can use the principles of kinematics. We need to determine the time it takes for the person to fall from the platform to the water, assuming no air resistance. Considering that the person starts from rest and falls freely under the influence of gravity, we can use the equation:
h = (1/2)gt^2
Here, h is the height of the platform (10 m), g is the acceleration due to gravity (9.8 m/s^2), and t is the time taken to fall. Solving for t, we get:
t = sqrt(2h/g) = sqrt(2*10/9.8) ≈ 1.43 s
The velocity of the person upon reaching the water can be found using the equation:
v = gt
Substituting the known values, we get:
v = 9.8 * 1.43 ≈ 14 m/s
Therefore, the correct answer is A) 14 m/s.