To find the potential energy of the basketball, you need to know the formula for gravitational potential energy, which is given by:
\[ PE = mgh \]
where:
- \( PE \) is the potential energy,
- \( m \) is the mass of the object (in this case, the basketball),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 , \text{m/s}^2 \) on Earth), and
- \( h \) is the height above a reference point.
Therefore, the information needed in addition to the mass of the basketball is the acceleration due to gravity and the height the ball reaches.
So the correct answer is: acceleration due to gravity and the height the ball reaches.