Barrons AP Calculus - David Bock

Part B

3. (a) Because which never equals zero, the object is never at rest.

(b) so the object’s speed is

Position is the antiderivative of velocity

Since P(0) = (0,0), arcsin and thus c = 0.

Since P(0) = (0,0), and thus c = 2.

Then

(c) Solving for t yields t = 2 sinx. Therefore

Since 0 ≤ t ≤ 1 means then cos x > 0, so y = 2 − 2cos x.