Your Practice Set – Applications and Interpretation for IBDP Mathematics
( b ) The total distance travelled
0
4
� � v( t) dt
( M1 ) for valid approach
4 e cost
� 1 d
0
�� t ( A1 ) for substitution
� 2.732255679 � 2.73 m
A1 [ 3 ]
Exercise 48
1 . The velocity of a particle in
1
ms � is given by v ln ( t 0.3 )
� � , for 0�t
� 5.
( a ) On the grid below , sketch the graph of v . [ 3 ]
( b ) Find the total distance travelled by the particle in the first five seconds . [ 3 ]
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