A particle moves on a straight line and its distance, x metres, from O at time t (seconds) is given by x=2 + 2 sin (4t). a) Sketch the graph of x against t for t = [0, 1.5]. b) What is the particle's maximum distance from O? c)At what times is the particle at O? d) Find the position of x at each of the following times: i t=0 ii t = 0.25 iii t= 0.3 e) At what times t in the interval [0, 1.5] is the particle 1 metre from O?