Analyze the data provided by the following exercise to determine the position functions(t)=21gt2+v0t+h0 of a freely falling object.

Situation:

An object is thrown from a mound 4 feet high at a speed of 48 feet per second.

a) Determine the position function that describes the displacement of the object.

b) Determine its velocity function and its velocity 2 seconds after the launch and indicate if its height is increasing or decreasing.

c) Determine the maximum height with respect to the ground reached by the object and the instant it reaches it.