Question

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?

a) 8.0 m
b) 24.0 m
c) 48.0 m
d) 96.0 m

Answer 1

The maximum distance an athlete can jump on the Moon when the gravitational acceleration is one-sixth that of Earth is 48.0 m.

Step-by-step explanation:

The maximum distance an athlete can jump on the Moon when the gravitational acceleration is one-sixth that of Earth can be calculated using the concept of projectile motion. The range of a projectile can be determined using the formula:

R = (v^2 * sin(2θ))/g

Where:

• R is the range
• v is the initial velocity
• θ is the launch angle
• g is the acceleration due to gravity

Since the takeoff speed is the same in both locations, the initial velocity remains constant. However, the gravitational acceleration on the Moon is one-sixth of that on Earth. This means the range on the Moon will be six times greater than on Earth.

Therefore, the maximum distance the athlete can jump on the Moon is 6 * 8.0 m = 48.0 m.