Projectile motion

Question

Suppose that a world-class long jumper jumped on the moon with the same initial velocity as that which would produce a world record breaking distance of 9.35 m on earth. What would be the range of this lunar long jump? Gravitational acceleration on the moon is 1.67 m/s².

Answer 1

Range of a projectile with starting velocity u projected at angle θ is given by R =u²sin(2θ)/g, where g is acceleration due to gravity,

Using this equiation, Rmoon/Rearth = gearth/gmoon

Or Rmoon = Rearth x (gearth /gmoon) = 9.35 * 9.81/1.67 =54.92 m