1. A particle moves along the x axis with its position given by 160') = 3:4 16t3 6:2 + 48t- 4 a. Find an expression for the velocity of the particle at any time t b. Find Where the particle is at rest 0. Find where the particle is moving to the right (1. Find the position of the particle when it is furthest to the left e. Find the displacement of the particle at t= 2 f. Find the total distance travelled by the particle from t= 0 to t= 2 g. Find the acceleration of the particle at any time t h. Find where the particle is slowingr down