Apps. and Interpretation for IBDP Maths Ebook 2 | Page 185

2 . The acceleration of a particle in
particle is at rest when t � 0.
2
ms
is given by
a� � � � , for 0�t
� 4. The
2 ( t 2 ) 1.9

11

( a ) On the grid below , sketch the graph of a . [ 3 ]
( b ) Find v( 4 ) � v( 0 ) , where v is the velocity of the particle .
3 . The acceleration of a particle in is at rest when t � 0.
( a ) Using the substitution
2
ms is given by at () � 2
2
�t
� 1 to find the expression of () particle , giving the answer in the form f () t
( b ) By finding C , find the expression of vt ().
( c ) On the grid below , sketch the graph of vt (). u � C .
[ 3 ]
2t t � 1 , for 0�t 6 . The particle
vt , the velocity of the
[ 4 ]
[ 2 ]
[ 2 ] www . seprodstore . com
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