[" 45.Two particles are projected from a point at the "],[" same instant with velocities whose horizontal and "],[" vertical components are "u_(1),u_(1)" and "u_(2),v_(2)" re- "],[" spectively.Prove that the interval between their "],[" passing through the other common point of their "],[" path is "]

Two particles are projected from a point at the same instant with velocities whose horizontal and vertical components are u_(1), v_(1) and u_(2), v_(2) respectively. Prove that the interval between their passing through the other common point of their path is (2(v_(1)u_(2) - v_(2) u_(1)))/(g (u_(1) + u_(2))

Two particles are projected from a point at the same instant with velocities whose horizontal and vertical components are u_(1), v_(1) and u_(2), v_(2) respectively. Prove that the interval between their passing through the other common point of their path is (2(v_(1)u_(2) - v_(2) u_(1)))/(g (u_(1) + u_(2))

Two particles are projected simultaneously in the same vertical plane, with speed u_(1) and u_(2) at angle of projection theta_(1) and theta_(2) respectively with the horizontal. The path followed by one, as seen by other (as long as both are in flight), is

Two particles are projected simultaneously in the same vertical plane, from the with speed u_(1) and u_(2) at angle of projection theta_(1) and theta_(2) respectively with the horizontal. The path followed by one, as seen by other (as long as both are in flight), is

Two particles are simultaneously projected in the same vertical plane from the same point with velocities u and v at angles alpha and beta with horizontal. Find the time that elapses when their velocities are parallel.

Two particles are simultaneously projected in the same vertical plane from the same point with velocities u and v at angles alpha and beta with horizontal. Find the time that elapses when their velocities are parallel.

A particle is projected vertically upward with velocity u from a point A , when it returns to the point of projection .