Final answer:
To calculate the time for a chunk of ice to fall freely 30 meters without air resistance, use the formula ½gt² to find that it would take approximately 2.47 seconds to reach the water.
Step-by-step explanation:
The question pertains to the calculation of the time it takes for a chunk of ice to fall freely from a glacier and hit the water below, given the height of the drop is 30.0 meters and that there is no air resistance. To determine this duration, we can use the equation of motion under gravity which is:
Time to Fall
h = ½gt² where h is the height of the fall, g is the acceleration due to gravity (approximately 9.8 m/s²), and t is time in seconds. By rearranging the formula to solve for t, and plugging in the values we get: t = √(2h/g), which equals √(2*30.0/9.8). This provides the time it takes for the ice to hit the water, which can be calculated using a calculator.
Time Calculation
After substituting the values into the equation and calculating, the square root of 60/9.8 yields approximately 2.47 seconds. Therefore, it takes roughly 2.47 seconds for the ice to hit the water.