Exam 14: Vector-Valued Functions and Motion in Space

If r(t) is the position vector of a particle in the plane at time t, find the indicated vector. -Find the acceleration vector. r(t) = (6 cos t)i + (9 sin t)j

Find the curvature of the space curve. -r(t) = (3 t sin t + 3 cos t)i + 3j + (3t cos t - 3 sin t)k