questions below:

21/3 The equation r(t) = 3 ti+ (2t - 16t2 ) j is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t = 0. . . . The angle between the velocity and acceleration vectors at time t = 0 is radians. (Type an exact answer, using it as needed.)The vector function r(t) is the position of a particle in space at time t. Determine the graph of the position function. r(t) = 312i + (12 + 1 ) j + + + k Choose the correct graph below. O A. O B. O c. OD. K.Solve the initial value problem for r as a vector function of t. dr Differential Equation: dt =3(t + 1)1 /2i+3e -tj+ k t+ 1 Initial condition: r(0) = k r(t) = ()i+ (Dj+1 k