ESE 2024Q11
Q: Suppose we do not know the path of a hang glider, but only its acceleration vector a(t) = −(3 cos t) i − (3 sin t) j + 2 k. We also know that initially (at time t = 0) the glider departed from the point (4, 0, 0) with velocity v(0) = 3 j. What is the glider's position as a function of t?
(a)r(t) = (1 + 3 cos t) i − 3 sin t j + 2t k
(b)r(t) = (−1 + 3 cos t) i + 3 sin t j + 2t k
(c)r(t) = (1 − 3 cos t) i + 3 sin t j + 2t k
(d)r(t) = (1 + 3 cos t) i + 3 sin t j + 2t k
Answer pending verification