Two identical smooth balls are projected from points O and A on the horizontal ground with same speed of projection. The angle of projection in each case is 30^(@).The distance between O and A is 100 m. The balls collide in mid-air and return to their respective points of projection. If the coefficient of restitution is 0.7, find the speed of projection of either ball (in m//s) correct to nearest integer. (Take g = 10 ms^(-2) and sqrt(3)=1.7)

Two identical smooth balls are projected from points O and A on the ho

1.	Two identical smooth balls are projected from points O and A on the horizontal ground with same speed of projection. The angle of projection in each case is 30^(@).The distance between O and A is 100 m. The balls collide in mid-air and return to their respective points of projection. If the coefficient of restitution is 0.7, find the speed of projection of either ball (in m//s) correct to nearest integer. (Take g = 10 ms^(-2) and sqrt(3)=1.7)
Answer» SOLUTION :The collision does not ALTER the vertical component of the VELOCITY of either BALL so `t_(1)+t_(2)=T` `implies50/(ucos30^(@))+50/(0.7ucos30^(@))=(2usin30^(@))/10impliesu~~38m//s`