Astronaut throws a ball horizontally on the planet with a speed of 5m/sec. the ball falls through a vertical distance of 1.92 m and lands horizontal distance of 16.4 m from the astronaut. What is the acceleration due to gravity on planet?

Question

anonymous · Answer

the acceleration on the y-axis is always 9.8m/s^2. horizontally is what u want to find. 
so what formula can you relate on the x-axis?

anonymous · Answer

thanks i was able to figure it . do u know by any chance how to find horizontal displacement

anonymous · Answer

yes

anonymous · Answer

range=va/t fairly easy right? u have to solve for time and then ur average velocity va=vh=vf=vi so then u divide and u will get it

anonymous · Answer

range is  the same thing as horizontal displacement

anonymous · Answer

First off, the gravitational acceleration on this planet is NOT 9.81$m/s^2$. 
This displacement in the vertical direction can be expressed as$$y =- {1 \over 2} g t^2$$The horizontal displacement can be expressed as$$x = v t$$We know v, y, and x. We can solve for t. Then plug t into the vertical displacement equation to solve for g.