Your Practice Set – Applications and Interpretation for IBDP Mathematics
4 . The displacement , in centimetres , of a particle from an origin , O , at time t seconds , is t given by s( t) � e sin t , 0 �t � 9.5.
( a ) Find the amount of time between the particle changes direction for the 1st time and the 3rd time .
( b ) ( i ) Find the time when the particle is at the maximum distance from O .
( ii ) Find s� () t .
[ 3 ]
( iii ) Hence , write down the acceleration of the particle at the instant when it is at the maximum distance from O .
[ 5 ]
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