2002 1(b) (i)
A particle, with initial speed u, moves in a straight line with constant acceleration.

During the time interval from 0 to t, the particle travels a distance p .
During the time interval from t to 2t, the particle travels a distance q.
During the time interval from 2t to 3t, the particle travels a distance r.

(i) Show that 2q = p + r.

(ii) Show that the particle travels a further distance  in the time interval
from 3t to 4t.

ANSWER

           no "v"       





  thus



(ii)   Let x be the distance travelled in the time interval from 3t to 4t.




  Find r.