Final answer:
To determine when an object reaches a specific height and when it will hit the ground, we use kinematic equations considering the constant acceleration due to gravity. For an object dropped from a height, the time it takes to reach a height of 88 feet or hit the ground depends on the initial velocity (which is zero if dropped) and the time calculated using these kinematic formulas.
Step-by-step explanation:
Understanding the Motion of an Object Dropped from a Height
To determine when an object will reach a certain height and when it will hit the ground, we need to understand the concepts of kinematics and free fall in physics.
When discussing a scenario where an object is dropped from a height and asked about specific heights at certain times, we are dealing with a physics problem that often involves calculating displacement, velocity, and time using the constant acceleration due to gravity.
Height of 88 feet
The height of 88 feet corresponds to roughly 26.82 meters.
To find out when the object will be at this height, we would use the kinematic equation h = h0 + v0t + ½gt², where h is the final height, h0 is the initial height, v0 is the initial velocity (which is zero if the object is just dropped), g is the acceleration due to gravity (-9.8 m/s² in the downward direction), and t is time.
If we set h to 26.82 meters and solve for t, we can determine the time at which the object is at 88 feet.
Hitting the Ground
To find out when the object will hit the ground, we set the final height (h) to zero in the kinematic equation and solve for time (t). This will provide us with the time of flight for the object to reach the ground from the given height.