The height of a falling object as a function of time is given by:
Where is the acceleration due to gravity in units per second per second, is the initial velocity of the object, is the initial height of the object, and is the height of the object at seconds. Note that the height given in meters indicates that the mks system is being used, therefore the acceleration due to gravity is .
You have dropped an object from a height of 45 meters which is then the initial height, presumably the initial velocity is zero, and the height of the ground is zero. Therefore the time required for the object to hit the ground, is given by the positive solution to the quadratic equation:
Now we need to determine the height of the object at time
Calculate this value and then evaluate:
John
My calculator said it, I believe it, that settles it
