Consider a trajectory in space with acceleration vector Sm = (e't, 1, 2t). Solve the initial value problem to find the trajectory ;(t) for the problem with initial velocity 3(0) = (3, G, 2) and initial position RD) = (5, 4, 9). (Your instructors prefer angle bracket notation for vectors.) ' 2 3 r(t)= e_'+4r+4, L+4,%2f5