Final answer:
To calculate the time for a stone released from the top of a 19.6m tall tower to reach the ground, we use the equation of motion h = ½gt², which results in a total time of 2 seconds.
Step-by-step explanation:
Calculating the Time for a Stone to Reach the Ground:
To calculate the time it takes for a stone to fall from a tower and reach the ground, we can use the equations of motion for an object under uniform acceleration due to gravity. The stone is released from rest, so its initial velocity (u) is 0 m/s. Assuming the acceleration due to gravity (g) is approximately 9.8 m/s2 and the height of the tower (h) is 19.6 m, we can use the following equation:
h = ½gt²
By rearranging this equation to solve for time (t), we obtain:
t = √(2h/g)
Plugging in the values, we get:
t = √(2 × 19.6 m / 9.8 m/s2)
t = √(4 s2)
t = 2 s
Therefore, the stone takes a total of 2 seconds to reach the ground.