Question 11

A particle moves along a straight line from the starting point. The velocity, , of the particle at a time instant after passing the starting point is given by and h and k are constants. The particle comes to a stop after 3 seconds with an acceleration at that instant of . Find [Assume motion to the right as positive.] (a) the value of h and the value of k,

(b) the time, in seconds, when the particle returns to its starting point,

(c) the acceleration, in , when the particle returns to its starting point,

(d) the total distance, in m, travelled by the particle in the first 5 seconds.