Analysis and Approaches for IBDP Maths Ebook 1 | Page 184

Your Practice Set – Analysis and Approaches for IBDP Mathematics
62
Paper 2 Section A – Graphs of velocity
and acceleration functions
Example
A particle’s displacement, in metres, is given by s( t)
� t sin t , for 0�t
� 7, where t is the
time in seconds.
(a) On the grid below, sketch the graph of s .
[4]
(b)
Find the maximum velocity of the particle.
[3]
Solution
(a) For approximately correct shape A1
For approximately correct maximum and minimum
points
A1
For approximately correct x -intercepts between 3
and 4 and between 6 and 7
A1
For approximately correct endpoints A1 N4
[4]
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