The equation r(t) = (6t+ 1) i+ (61" - 4) j+ (8t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t=0 as a product of its speed and direction. What is the velocity vector? v (t) = (0)+(0);+()k What is the acceleration vector? a (t) = ()i+ (Di+()k Write the velocity vector at t=0 as a product of the speed and direction. (Type exact answers, using radicals as needed.)The equation r{t] = (3H 3) i+ {t} j+ [32] k is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t = E]. <:: what is the angle :l radians an exact answer: using as needed. equation r h j position of a particle in space at time t. find between velocity and acceleration vectors t="0." velocity.r i: radians. answer="using">