Final answer:
To find the time it takes for a high diver to strike the water from a 10 m high diving board, we use the kinematic equation for free fall with zero initial velocity. The time is calculated to be approximately 1.43 seconds.
Step-by-step explanation:
The question asks for the time it takes for a high diver to strike the water after leaving a 10 m high diving board. To solve this problem, we can use the kinematic equations that govern free fall, assuming there is no air resistance. The formula that we will use is:
h = v_i * t + (1/2) * g * t^2
where h is the height (10 m), v_i is the initial velocity (0 m/s for a diver stepping off), g is the acceleration due to gravity (9.8 m/s^2), and t is the time in seconds. If the initial velocity is zero, the equation simplifies to:
h = (1/2) * g * t^2
Now we can solve for t by rearranging the equation:
t = sqrt((2 * h) / g)
Plugging in the given values:
t = sqrt((2 * 10 m) / 9.8 m/s^2)
When we calculate this, we find:
t ≈ 1.43 seconds
Therefore, it takes approximately 1.43 seconds for the high diver to strike the water after leaving the diving board.