A particle is moving along a horizontal straight line. The graph of its position function (the distance to the right of a fixed point as a function of time) is shown. (Assume 0 ≤ t ≤ 6. ) (a) When is the particle moving toward the right and when is it moving toward the left? (Enter your answers using interval notation.) moving right moving left (b) When does the particle have positive acceleration and when does it have negative acceleration? (Enter your answers using interval notation.) positive acceleration negative acceleration
![(a) A particle which is moving in a straight line with constant acceleration 2 m/s2 is initially at rest. Find the distance covered by the particle in the third second of its motion. [4 marks] (b) The time variation of the position of a particle in rectilinear motion is given by x = 2t3 + t2 + 2t. If v is the velocity and a is the acceleration of the particle. Find the velocity and acceleration of the particle when t = 3 s. [4 marks] (c) A bicycle moves along a straight road such that its position is described by the graph shown. Construct the v−t graph and a−t graph for 0 ≤ t ≤ 30 s.](https://www.doubtrix.com/uploads/editor/7222719326dsBBXaPfWp.jpg)
