Two particles are projected from the same point on level ground simu ltaneously with the same velocity u but at the angles (alpha+beta)and (alpha-beta) of projection betalt45^(@) respectively. Which of the following statements will be true?

Two particles are projected from the same point on level ground simu l

1.	Two particles are projected from the same point on level ground simu ltaneously with the same velocity u but at the angles (alpha+beta)and (alpha-beta) of projection betalt45^(@) respectively. Which of the following statements will be true?
Answer» They will have the same horizontal RANGE if `alpha=45^(@)` They will be separated by the distance of `(2u^(2))/(g)(sin 2alpha cos 2beta)` when they reach the ground They are sever in the same horizontal level during their flights. none of these Solution :For two angles `(45^(@)+theta)` and `(45^(@)+theta)` range is same. Time for REACHING the maximum heights `t_(1)=(U sin (45^(@)+theta))/(g)` and `t_(2)=(u sin(45^(@)-theta))/(g)` or `Deltat=(u)/(g)[sin(alpha+theta)-sin(alpha-theta)]` Similarly, `R_(1)=(u^(2))/(g)sin 2(alpha+beta)` and `R_(2)=(u^(2))/(g)sin 2(alpha-beta)`