The position of an object is moving along an x axis is given by \(x=3t - 4t^{2}+t^{3}\) where x is in meters and t is in seconds.

1) Find the position of object when t=0,4

2) What is the displacement between t=0 and t=4s

3) What is the average velocity for the time interval from t=0 to t=4s

4) What is the instantaneous veloxity at t=4s

5) Is this object moving with constant acceleration

6) At what time is the object's velocity 0

A hot air balloon is descending at the rate of 12m/s and is 80m above the ground when a package is dropped over the side. assume that the balloon continues to descend at a constant speed of 12m/s

1) How long does the package take to reach the ground?

2) With what speed does it hit the ground?

3) How high above the ground is the balloon at the instant the package hits the ground?

4) How long after the package hits the ground does the balloon reach the ground?