A delivery company suggests using a remote-controlled aircraft to drop a parcel into the garden of a customer. When the aircraft is vertically above point P on the ground, it releases the parcel with a velocity that is horizontal and of magnitude . The path of the parcel is shown.
The parcel takes a time of after its release to reach point Q on the horizontal ground. Assume air resistance is negligible.
Determine the height of the parcel above the ground when it is released.
Calculate the horizontal distance between points P and Q.