The kinetic energy of an object is primarily influenced by its mass and its speed. The formula for kinetic energy (KE) is given by:
\[ KE = \frac{1}{2}mv^2 \]
where \( m \) is the mass of the object and \( v \) is its speed. From this formula, we can see that:
- Mass: The greater the mass of the object, the more kinetic energy it has for the same speed.
- Speed: The kinetic energy increases with the square of the speed, meaning that even a small increase in speed results in a significant increase in kinetic energy.
Considering your options, the correct one that directly relates to kinetic energy would be:
D: mass and speed.