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1.Give examples of a one-dimensional motion where

(a) the particle moving along positive x-direction comes to rest

periodically and moves forward.

(b) the particle moving along positive x-direction comes to rest

periodically and moves backward.

2.Give example of a motion where x > 0, v < 0, a > 0 at a particular

instant.

3. An object falling through a fluid is observed to have acceleration

given by a = g – bv where g = gravitational acceleration and b is

constant. After a long time of release, it is observed to fall with

constant speed. What must be the value of constant speed?

4.A particle executes the motion described by ( ) = (1 − − t );

o x t x e γ t ≥ 0 ,

x0 > 0.

(a) Where does the particle start and with what velocity?

(b) Find maximum and minimum values of x (t), v (t), a (t). Show that

x (t) and a (t) increase with time and v (t) decreases with time.