Analysis and Approaches for IBDP Maths Ebook 1 | Page 187

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(b)
Find the maximum acceleration of the particle.
[3]
3. A bicycle’s velocity, in metres per second, is given by
for 0 �t
� 10 , where t is the time in seconds.
3 2
v( t) 0.1t 1.5t 5t
� � � ,
(a) On the grid below, sketch the graph of v .
[4]
14
(b)
Find the times when the acceleration of the particle is zero.
[3]
4. A motor car’s velocity, in metres per second, is given by
for 0�t
� 5, where t is the time in seconds.
1 2
v( t) � t ( t � 6) ,
3
(a) Find the expression for at (), the acceleration of the motor car.
(b) On the grid below, sketch the graph of a .
[3]
[4]
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