(a) If a person can jump a maximum horizontal distance (by using a 45° projection angle) of 3.0 m on Earth, what would be his maximum range on the Moon, where the free-fall acceleration is g/6 and g 5 9.80 m/s2 ? (b) Repeat for Mars, where the acceleration due to gravity is 0.38g.

See explanation

Explanation:

Range of a projectile is given by; U^2sin2θ/g

When θ = 45°

The maximum range is obtained as;

Rmax = U^2/g

Maximum range on earth = RME = U^2/g

Maximum range in the moon= RMM =U^2/g/6

Maximum range in Mars = RMMA = U^2/0.38g

a)

RME/RMM =  U^2/g/U^2/g/6

RME/RMM = 6

But RME = 3 m

RMM = 3 * 6 = 18 m

b)

RME/RMMA =U^2/g/U^2/0.38g

RME/RMMA = 1/0.38

But RME = 3 m

RMMA = 3/0.38

RMMA = 7.9 m