Question 6
A particle moves along a straight line from a fixed point at time seconds. The acceleration, , of the particle at time is given by , where and are constants. The particle starts moving with an initial velocity of , decelerates to , and stops momentarily at .
[Assume motion is in the positive direction.]
(a) Determine the values of and .
(b) Express the displacement function, for the movement of the particle in terms of .
(c) Determine the values of , in seconds, when the particle stops momentarily for the second time.
(d) Calculate the distance, in , that the particle travels in seconds of 2.