11 . A particle moves in a straight line with acceleration displacement
differential equation are
2 a ms � , velocity v ms s m . At time t s , 0 �t � 15�
, the acceleration is given by the
1
0 ms � and 0m respectively .
�1 and
2 v � 64 a � . The initial velocity and the initial displacement
240
( a ) Find v in terms of t .
( b ) Hence , find t when
8 v � 3 . 3
240v ( c ) Show that s�
� dv.
2 v � 64
( d ) Hence , find s when
8 v � 3 . 3
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