Question

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.