At time t ≥ 0, a particle moving along a curve in the xy-plane has position ( xt yt ( ), ( )) with velocity vector
( ) ( ( ) ) 2 0.5 cos , . t vt t e = At t = 1, the particle is at the point (3, 5 .)
(a) Find the x-coordinate of the position of the particle at time t = 2.
(b) For 0 1, <
At what time is the object at that point?
(c) Find the time at which the speed of the particle is 3.
(d) Find the total distance traveled by the particle from time t = 0 to time t = 1.
