Your Practice Set – Applications and Interpretation for IBDP Mathematics
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Paper 2 – Applications in Kinematics
Example
A particle A is moving on a x - y plane . The displacement of A in the first 2 seconds is � 3t � given by s
A
� � � , where t is the time in seconds after the start of motion . �12
� t �
( a ) Find the coordinates of A 2 seconds after the start of motion . [ 2 ]
( b ) Write down the vector equation for the displacement of A , giving the answer in the form r �a �tb . [ 2 ]
� 6 �
A starts to accelerate such that the velocity of A after t � 2 is given by v
A
� � � . ��2�
( c ) Find the coordinates of A
( i ) 5 seconds after it accelerates ;
( ii ) 10 seconds after the start of motion . [ 4 ]
( d ) Find the acute angle between the line of motion of A and the x -axis.
[ 2 ]
A collides with the another particle B at t � 10 . It is given that B travels at a constant �5�
velocity v
B
� � � . �5�
( e ) Find the coordinates of B 5 seconds after A accelerates . [ 2 ]
( f ) Hence , find the distance between the two particles 5 seconds after A accelerates . [ 2 ]
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