Analysis and Approaches for IBDP Maths Ebook 1 | страница 181

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3. The displacement, in centimetres, of a particle from an origin, O , at time t seconds, is
given by s( t) �t � sin( e
t ) , 0 �t
� 2.8 .
(a) Find vt (), the velocity of the particle at time t seconds.
[2]
(b) Find the acceleration of the particle at the instant it changes direction for the 4th
time.
[5]
14
4. The displacement, in centimetres, of a particle from an origin, O , at time t seconds, is
2 �t
given by s( t) �t e � t sin t , 0 �t
� 13.
(a)
(b)
Find the amount of time between the particle changes direction for the 1st time
and the 3rd time.
Find the acceleration of the particle at the instant when it is at the maximum
distance from O .
[4]
[4]
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