Part B
- (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.