Suppose an object moves on a horizontal line. If the object starts from rest at the origin and it has an acceleration of 16t-t, determine the following:
A) When, if ever, position, velocity, or acceleration equal 0.
B) If the object does reach the origin, determine its velocity when it is there.
C) The position when velocity is equal to zero.
D) The position when acceleration is equal to zero.
E) Determine the total distance the object has moved when time is 2 seconds. Note the distance moved is not the position. For example, if you leave home, go to your grocery store and return home, your position is zero (if home is the origin) but you travelled more than 0 miles on your journey.