1.

 A particle P moves in a straight line through O so that at the time t seconds, its

 displacement s from O is given by cm. Find

 (a) the initial velocity of P,

 (b) the initial acceleration of P,

 (c) the time when P first come instantaneously to rest and its distance from O at

    this instant.

 

2.

 A particle P moves in a straight line and passes a fixed point O with a velocity of

 cm/s, where t is the time taken in seconds after passing O. Find

 (a) the times when P is instantaneously at rest,

 (b) the velocity of P when its acceleration is zero,

 (c) the total distance travelled by P in the first two seconds.

 

3.

 A particle P, at point O, starts to move in a straight line from rest with an

 acceleration given by where t is the time in seconds measured

 from the start of the motion. Calculate

 (a) the velocity of P after 0.5 second,

 (b) the value of t when P is first instantaneously at rest,

 (c) the maximum distance P travelled from O.