Final answer:
To find the time it takes for a ball to reach the ground when dropped from a given height, use the equation t = sqrt(2h/g), where h is the height and g is the acceleration due to gravity.
Step-by-step explanation:
To find the time it takes for a ball to reach the ground when it is dropped from a height of h feet.
We can use the equation h = 1/2 * g * t^2, where h is the height, g is the acceleration due to gravity (32 ft/s^2), and t is the time. Rearranging the equation, we have t = sqrt(2h/g).
For example, if the ball is dropped from a height of 64 feet, we can substitute h = 64 into the equation to find t = sqrt(2 * 64 / 32) = sqrt(4) = 2 seconds.
Therefore, it takes 2 seconds for the ball to reach the ground.