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. 
