Question

A particle moves in the xy-plane with the coordinates r(t) = 2 - 1 and
y(t) = 212 + 31, with r(t) and y(t) in meters and 1 in seconds.
(a) Write the position vector. (2 P)
(b) Write the initial position vector (I = 0). (1 P)
(c) Find the displacement the particle between t = 1s and t = 5s (2P)
(d) Find the average velocity between t = 1s and t = 5s. (2P)
(e) Find velocity vector and the acceleration vector at any time I. (3 P)
() Write the acceleration components a, and ay at 1 = 35. (2P)​

Answer 1

Explanation:

A particle moves in the xy-plane with the coordinates r(t) = 2 - 1 and

y(t) = 212 + 31, with