Answer the following question.

Tutorial (5. 3) - 1. For r(t}=ti + t2] + $51!, nd: T, N, K, 9, B, r and a at t = 1. . The position vector of a moving particle is given by: ruin/i cos 31:! + 2 sin 3t] + cos 3t k Find its speed, 12, curvature, K and torsion, r of its path. . The position vector of a moving particle is given by: t r(t)= (sin t + cos t) i + (sin t - cos t)] + 5k i. Determine the velocity and speed of the particle. ii. Determine the acceleration of the particle. iii. Find the unit tangent to the path of the particle, in the direction of motion. iv. Find the curvature of the curve traversed by the particle