The velocity of an object is v(t) = t^2 - t (ft/sec) and its initial position is s(0) = 2, t ≥ 0. A) What is the position of the object after 2 seconds? B) When is the object at rest? C) Find the distance traveled by the object during the first two seconds.

Question

The velocity of an object is v(t) = t^2 - t (ft/sec) and its initial position is s(0) = 2, t ≥ 0.  A) What is the position of the object after 2 seconds?  B) When is the object at rest? C) Find the distance traveled by the object during the first two seconds.

anonymous · Answer

integrate v(t), then use the inital conditions to find what the constatn C.

anonymous · Answer

Then simple evaluate s(2) where s will be the position function