To determine the time it takes for the object to hit the ground when released from an airplane, we need to calculate the time it takes for the object to fall vertically from the height of 1000 meters.
Given: Height of the airplane = 1000 meters Speed of the airplane = 120 kilometers per hour
To solve this, we'll use the equation for vertical free fall:
h = (1/2) * g * t^2
Where: h is the height (1000 meters) g is the acceleration due to gravity (approximately 9.8 m/s^2) t is the time it takes for the object to fall
Rearranging the equation:
t^2 = (2h) / g
Substituting the values:
t^2 = (2 * 1000) / 9.8 t^2 = 204.08
Taking the square root of both sides:
t = sqrt(204.08) t = 14.28 seconds (approximately, rounded to two decimal places)
Therefore, it will take approximately 14.28 seconds for the object to hit the ground when released from the airplane.