Analysis and Approaches for IBDP Maths Ebook 1 | Page 209

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(b)
The total distance travelled
4
� � v( t) dt
(M2) for valid approach
0
4
e cost
� 1 d
0
�� t
(A1) for correct formula
� 2.732255679
� 2.73 m
A1 N3
[4]
Exercise 70
1. The velocity of a particle in
1
ms � is given by v ln( t 0.3)
(a) On the grid below, sketch the graph of v .
� � , for 0�t
� 5.
[3]
16
(b)
Find the total distance travelled by the particle in the first five seconds.
[4]
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