A projectile thrown with a speed v at an angle θ has a range R on the surface of earth.For the same v and θ, its range on the surface of moon will be [gmoon=gearth6]
For Earth,
Range is given by, Re=u2sin2θge
On moon,
Given, gm=ge/6
∴Rm==u2sin2θgm
∴ReRm=u2sin2θgeu2sin2θgm=gmge=16
⇒Rm=6Re