Find the velocity, acceleration, and speed of a particle with the given position function. r(t)=ti+t2j+3k V0) HUB a(t) |V(f)| = Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (t2 + t, r2 t, 3:3) HUB v(t) a(t) |V(f)| = (a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) = 18ti + sin(t) j + cos(2t) k, v(0) = i, r(0) = j r(t) =A projectile is fired with an initial speed of 160 m/s and angle of elevation 60. The projectile is fired from a position 120 m above the ground. (Recall g ~ 9.8 m/s. Round your answers to the nearest whole number.) (a) Find the range of the projectile. m (b) Find the maximum height reached. m (c) Find the speed at impact. m/s