Suppose the position as a function of time of an object of mass 25 kilograms is given by the function

r(t) = a t³j + b t²k + c t i+ d j

where

a = 2.0 meters per second cubed; b = -10.0 meters per second squared;

c = 4.0 meters per second, and d = 1.0 meter.

Find:

1. The position of the object at time 0.0 second.

2. The velocity of the object at time 0.0 second.

3. the acceleration of the object at time 0.0 second.

4. the position of the object at time 2.0 seconds.

5. the velocity of the object at time 2.0 seconds.