( c ) The total distance travelled
6
� � v( t) dt
( M1 ) for valid approach
0 6 ( t�3 ) 3 d
0
� � t ( A1 ) for substitution
� 40.5 m A1
( d ) a( t) � v�( t) a t
2
( ) 3 ( t 3 ) ( 1 ) � � ( A1 ) for correct approach a( t) 3 ( t 3 )
2
� � A1
( e ) vt ( ) � 0 and at ( ) � 0 By considering the graph of y
2 �3 ( t� 3 ) , 3 y
3
� � and
( t 3 ) t � and t � 3. R2
�3� t � 6 A1
( f ) |
s( t) � � v( t) dt |
3 s( t) �� ( t �3 ) dt |
( A1 ) for correct approach |
|
1
4 s( t) � ( t �3 ) �
C
4
|
A1 |
|
81 1 ( 0
3 )
4 � � �
C 4
4
|
( M1 ) for substitution |
|
C �
0
|
|
1
4 �s( t) � ( t �
3 )
4
|
A1 |
[ 3 ]
[ 2 ]
[ 3 ]
[ 4 ]
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