An athlete can jump a distance of 8.0 m in the broad jump. What is the maximum distance the athlete can jump on the Moon, where the gravitational acceleration is one–sixth that of Earth?

1.33 m

Explanation:

Given:

Height jumped by athlete on Earth (y₁) = 8.0 m

Gravitational acceleration on moon is one-sixth of Earth.

So,

Height jumped by athlete on moon (y₂) = ?  

We know that, from equation of motion, displacement is directly proportional to the gravitational acceleration keeping the remaining quantities constant.

So,

Setting up a proportion for Earth and moon, we get:

Now, substitute . This gives,

Therefore, the height jumped on moon is 1.33 m.

t = 1/400 h   ⇔ 0.0025 h ⇔ 9s ⇔ 0.15 m

any of the answers are correct.