Question

Suppose that on earth you can throw a ball vertically upward a distance of 2.04 m. Given that the acceleration of gravity on Mars is 3.80 m/s2, how high could you throw a ball on Mars? (Take the y-axis in the vertical direction, and assume that the location of your hand is at y = 0.)

Answer 1

The maximum height a ball can be thrown on Mars is 0.800 meters.

Step-by-step explanation:

To calculate how high you could throw a ball on Mars, we can use the concept of projectile motion. The maximum height reached by the ball is determined by its initial velocity and the acceleration due to gravity. On Earth, the acceleration of gravity is 9.8 m/s^2, while on Mars it is 3.80 m/s^2. The height reached on Mars can be found using the equation:

height = (initial velocity^2)/(2 imes acceleration of gravity)

Substituting the given values for acceleration of gravity on Mars and the height on Earth, we have:

(height on Mars) = (2.04m^2 imes 3.80 m/s^2)/(2 imes 9.8 m/s^2)

Simplifying the equation gives:

(height on Mars) = 0.800 m

Therefore, you could throw a ball on Mars to a maximum height of 0.800 meters.