On a smooth carom board,a coin moving in negative direction with a speed of 3m/s is being hit at the point (4,6) by a striker moving along negative axis. The line joining the centres of the coin and the striker just before the collision is parallel to axis. After collision the coin goes into the hole located at the origin. Masses of the striker and the coin are equal. Considering the collision to be elastic,the initial and final speeds of the striker in m/s will be
a) 
(1,0) 
b) 
(2,0) 
c) 
(3,0) 
d) 
None of these 
On a smooth carom board,a coin moving in negative direction with a speed of 3m/s is being hit at the point (4,6) by a striker moving along negative axis. The line joining the centres of the coin and the striker just before the collision is parallel to axis. After collision the coin goes into the hole located at the origin. Masses of the striker and the coin are equal. Considering the collision to be elastic,the initial and final speeds of the striker in m/s will be
a) 
(1,0) 
b) 
(2,0) 
c) 
(3,0) 
d) 
None of these 
(b)
The line of impact for duration of collision is parallel to the axis. The situation of striker and coin just before the collision is given as
Because masses of coin and striker are same, their components of velocities along the line of impact shall exchange. Hence, the striker comes to rest and the and components of velocities of coin are and 3 m/s, respectively, as shown in fig.
For coin to enter hole, its velocity must be along
or m/s
A car of mass is initially at rest on the boat of mass tied to the wall of dock through a massless, inextensible string. The car accelerates from rest to velocity in times . At the car applies brake and comes to rest relative to the boat in negligible time. Neglect friction between the boat and water; the time at which boat will strike the wall is
a) 

b) 

c) 

d) 
None of these 
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