Syakirin:
a) A body moves along the x-axis with displacement x cm where x(t)=10[t−ln(t+1)], t≥0 and t is the time in seconds. Find the object's velocity and acceleration after being in motion for 1 second.
b) A particle moves in such a way that its displacement, x cm, t seconds after starting to move from a fixed point O is given by x(t)=10+20e^-0.2t, t≥0
i) Determine the rate if change of its displacement at time t=5.
ii) Will this particle ever maintain a constant velocity for a period of time?
iii) Will this particle ever maintain a constant acceleration for a period of time?