Welcome to our new beta design! Click here to go back to the old Newschoolers.
horizontal component: vx = dx/t , where dx is the change in distance in the x direction, vx is the x component of the velocity of the projectile.
vertical component: dy = vy*t - .5gt^2 , where dy is the change in distance in the y direction, vy is the y component of the velocity, and g is the acceleration of gravity.
in both cases, t = time the projectile spends in the air and it is the same in both the x and y directions, as the time taken for the projectile to travel along the ground is intuitively going to be the same amount of time it spends in the air.
vy = vsin(angle) and vx = vcos(angle) , provided the angle was given between the horizontal plane and the trajectory of the projectile.