A carrom board (4ft x 4ft) has a queen at the centre The queen hit by the striker moves - Physics - Motion In A Straight Line

Question

A carrom board (4ft x 4ft) has a queen at the centre The queen
hit by the striker moves to the front edge, rebounds and goes into
the hole behind the striking line Find the magnitude of
displacement of the queen (a) from the centre to the front edge (b)
from the front edge to the hole (e) from he centre to hole

Md. Azam Khan · Accepted Answer

problem is pictorially depicted above

(a). magnitude of displacement of queen from the center of front edge is OB which is equal to the half length of the edge of carrom

ie OB=2ft.

(b). from the front edge to the hole:

in right triangle ABC from Pythagoras theorem we have,

BC²= AC²+ AB²

= 4²+ 2²

= 20

$B C = \sqrt{20}$ = 4.47ft

(c).form the center to the hole:

in right angled triangle DOC

${C O}^{2} = {D C}^{2} + {D O}^{2} = 2^{2} + 2^{2} = 8 C O = \sqrt{8} = 2.82 f t$